1. Boundless Lecture Slides Free to share, print, make copies and changes. Get yours at www.boundless.com Available on the Boundless Teaching Platform

2. Using Boundless Presentations The Appendix The appendix is for you to use to add depth and breadth to your lectures. You can simply drag and drop slides from the appendix into the main presentation to make for a richer lecture experience. Free to edit, share, and copy Feel free to edit, share, and make as many copies of the Boundless presentations as you like. We encourage you to take these presentations and make them your own. Free to share, print, make copies and changes. Get yours at www.boundless.com Boundless Teaching Platform Boundless empowers educators to engage their students with affordable, customizable textbooks and intuitive teaching tools. The free Boundless Teaching Platform gives educators the ability to customize textbooks in more than 20 subjects that align to hundreds of popular titles. Get started by using high quality Boundless books, or make switching to our platform easier by building from Boundless content pre-organized to match the assigned textbook. This platform gives educators the tools they need to assign readings and assessments, monitor student activity, and lead their classes with pre-made teaching resources. Get started now at: If you have any questions or problems please email: educators@boundless.com http://boundless.com/teaching-platform

3. Boundless is an innovative technology company making education more affordable and accessible for students everywhere. The company creates the world’s best open educational content in 20+ subjects that align to more than 1,000 popular college textbooks. Boundless integrates learning technology into all its premium books to help students study more efficiently at a fraction of the cost of traditional textbooks. The company also empowers educators to engage their students more effectively through customizable books and intuitive teaching tools as part of the Boundless Teaching Platform. More than 2 million learners access Boundless free and premium content each month across the company’s wide distribution platforms, including its website, iOS apps, Kindle books, and iBooks. To get started learning or teaching with Boundless, visit boundless.com.boundless.com Free to share, print, make copies and changes. Get yours at www.boundless.com About Boundless

4. Symmetry Even and Odd Functions Transformations of Functions Translations Reflections Stretching and Shrinking Transformations Graphs, Functions, and Models > Transformations Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/algebra?campaign_content=book_196_section_21&campaign_term=Algebra&utm_campaign=powerpoint&utm_medium=dir ect&utm_source=boundless

5. If one object is obtained from the other by an invariant transformations, the two objects are symmetric to each other. The value of the output is invariant under permutations of variables in the case of symmetric functions. A binary operation is commutative if the operator, as a function of two variables, is a symmetric function. Symmetry Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/algebra/textbooks/boundless-algebra-textbook/graphs-functions-and-models-2/transformations-21/symmetry-115- 1633?campaign_content=book_196_section_21&campaign_term=Algebra&utm_campaign=powerpoint&utm_medium=direct&utm_source=boundl ess Sphere View on Boundless.com Graphs, Functions, and Models > Transformations

6. The parity of a function does not necessarily reveal whether the function is odd or even. An even function is symmetric about the y-axis. An odd function is symmetric with respect to 180-degree rotation about the origin. Even and Odd Functions Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/algebra/textbooks/boundless-algebra-textbook/graphs-functions-and-models-2/transformations-21/even-and-odd-functions- 116- 5537?campaign_content=book_196_section_21&campaign_term=Algebra&utm_campaign=powerpoint&utm_medium=direct&utm_source=boundl ess View on Boundless.com Graphs, Functions, and Models > Transformations

7. Transformations are ways that a function can be adjusted to create new functions. Transformations often preserve the original shape of the function. Common types of transformations include rotations, translations, reflections, and scaling (also known as stretching/shrinking). Transformations of Functions Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/algebra/textbooks/boundless-algebra-textbook/graphs-functions-and-models-2/transformations-21/transformations-of- functions-117- 5543?campaign_content=book_196_section_21&campaign_term=Algebra&utm_campaign=powerpoint&utm_medium=direct&utm_source=boundl ess View on Boundless.com Graphs, Functions, and Models > Transformations

8. A translation is a function that moves every point a constant distance in a specified direction. A vertical translation is generally given by the equation y = f(x) + b. These translations shift the whole function up or down the y-axis. A horizontal translation is generally given by the equation y = f(x−a). These translations shift the whole function side to side on the x-axis. Translations Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/algebra/textbooks/boundless-algebra-textbook/graphs-functions-and-models-2/transformations-21/translations-118- 4754?campaign_content=book_196_section_21&campaign_term=Algebra&utm_campaign=powerpoint&utm_medium=direct&utm_source=boundl ess View on Boundless.com Graphs, Functions, and Models > Transformations

9. A reflection swaps all of the x or y values across the y- or x-axis, respectively. It can be visualized by imagining a mirror lies across that axis. A vertical reflection is given by the equation y = −f(x) and results in the curve being "reflected" across the x-axis. A horizontal reflection is given by the equation y = f(−x) and results in the curve being "reflected" across the y-axis. Reflections Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/algebra/textbooks/boundless-algebra-textbook/graphs-functions-and-models-2/transformations-21/reflections-119- 5831?campaign_content=book_196_section_21&campaign_term=Algebra&utm_campaign=powerpoint&utm_medium=direct&utm_source=boundl ess View on Boundless.com Graphs, Functions, and Models > Transformations

10. When by either f(x) or x is multiplied by a number, functions can "stretch" or "shrink" vertically or horizontally, respectively, when graphed. In general, a vertical stretch is given by the equation y = pf(x). If p>1, the graph stretches upward and downward. If p<1, the graph shrinks. In general, a horizontal stretch is given by the equation y = f(x/q). If q>1, the graph shrinks horizontally, becoming more compact. If q<1, the graph stretches horizontally. Stretching and Shrinking Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/algebra/textbooks/boundless-algebra-textbook/graphs-functions-and-models-2/transformations-21/stretching-and-shrinking- 120- 1623?campaign_content=book_196_section_21&campaign_term=Algebra&utm_campaign=powerpoint&utm_medium=direct&utm_source=boundl ess View on Boundless.com Graphs, Functions, and Models > Transformations

11. Free to share, print, make copies and changes. Get yours at www.boundless.com Appendix

12. Key terms additive inverse The inverse with respect to addition; the opposite. boolean-valued function A function of the type f : X → B, where X is an arbitrary set and where B is a boolean domain. commutative A binary operation is commutative if changing the order of the operands does not change the result, for example addition and multiplication. euclidean space The three-dimensional space of Euclidean geometry. The term "Euclidean" distinguishes these spaces from the curved spaces of non-Euclidean geometry and Einstein's general theory of relativity. isometry A function between metric spaces (or on a single metric space) having the property that the distance between two images is equal to the distance between their pre-images. parity A set with the property of having all of its elements belonging to one of two disjoint subsets, especially a set of integers split in subsets of even and odd elements. quadratic A quadratic polynomial, function or equation. reflection a mapping from a Euclidean space to itself that is an isometry with a hyperplane as set of fixed points transformation The replacement of the variables in an algebraic expression by their values in terms of another set of variables; a mapping of one space onto another or onto itself; a function that changes the position or direction of the axes of a coordinate system. vector A directed quantity with both magnitude and direction. Free to share, print, make copies and changes. Get yours at www.boundless.com Graphs, Functions, and Models

13. Interactive Graph: Sine Function Stretching Vertically Graph of sine function,, stretching vertically. Here, the basic sine function is shown in red while the blue function is stretched vertically by a factor of 3. Free to share, print, make copies and changes. Get yours at www.boundless.com Boundless. "Interactive Graph: Sine Function Stretching Vertically." CC BY-SA 3.0 https://www.boundless.com/image/interactive-graph-sine-function-stretching- vertically View on Boundless.comCC BY-SA 3.0https://www.boundless.com/image/interactive-graph-sine-function-stretching- verticallyView on Boundless.com Graphs, Functions, and Models

14. Sphere In this sphere, φ is the longitude and θ the colatitude. The radius is the green dotted line. The notation of |0, |1, and |ψ may be unfamiliar (this is Bra- Ket notation), but none of the lengths depicted by 0, 1 and ψ is essential to the discussion of symmetry. Free to share, print, make copies and changes. Get yours at www.boundless.com Wikimedia. "Sphere bloch." CC BY-SA http://commons.wikimedia.org/wiki/File:Sphere_bloch.jpg View on Boundless.comCC BY-SAhttp://commons.wikimedia.org/wiki/File:Sphere_bloch.jpgView on Boundless.com Graphs, Functions, and Models

15. Interactive Graph: Graph of an Even Function Graph of is an even function. The order of x is even (2), and thus is symmetrical with respect to the vertical axis. Free to share, print, make copies and changes. Get yours at www.boundless.com Boundless. "Interactive Graph: Graph of an Even Function." CC BY-SA 3.0 https://www.boundless.com/image/interactive-graph-graph-of-an-even-function View on Boundless.comCC BY-SA 3.0https://www.boundless.com/image/interactive-graph-graph-of-an-even-functionView on Boundless.com Graphs, Functions, and Models

16. Interactive Graph: Basic Quadratic Equation Vertical Translations The graph shows the function with the original basic function in blue. The green and red functions are representations of the function translated up or down by two on the y-axis. Try shifting the graph vertically. Free to share, print, make copies and changes. Get yours at www.boundless.com Boundless. "Interactive Graph: Basic Quadratic Equation Vertical Translations." CC BY-SA 3.0 https://www.boundless.com/image/interactive-graph-basic-quadratic- equation-vertical-translations View on Boundless.comCC BY-SA 3.0https://www.boundless.com/image/interactive-graph-basic-quadratic- equation-vertical-translationsView on Boundless.com Graphs, Functions, and Models

17. Interactive Graph: Basic Quadratic Equation Horizontal Translations The graph shows the function with the original basic function in blue. The green and red functions are representations of the function translated up or down by two on the x-axis. Try shifting the graph horizontally. Free to share, print, make copies and changes. Get yours at www.boundless.com Boundless. "Interactive Graph: Basic Quadratic Equation Horizontal Translations." CC BY-SA 3.0 https://www.boundless.com/image/interactive-graph-dd55d4e5- ccbb-4cd9-82a1-c8f518535030 View on Boundless.comCC BY-SA 3.0https://www.boundless.com/image/interactive-graph-dd55d4e5- ccbb-4cd9-82a1-c8f518535030View on Boundless.com Graphs, Functions, and Models

18. Interactive Graph: Graph of an Odd Function Graph of is an odd function. The order of x is odd (3) and thus is symmetrical when rotated 180 degrees about the origin. Free to share, print, make copies and changes. Get yours at www.boundless.com Boundless. "Interactive Graph: Graph of an Odd Function." CC BY-SA 3.0 https://www.boundless.com/image/interactive-graph-graph-of-an-odd-function View on Boundless.comCC BY-SA 3.0https://www.boundless.com/image/interactive-graph-graph-of-an-odd-functionView on Boundless.com Graphs, Functions, and Models

19. Interactive Graph: Reflected Functions Graph of reflected function for. The green line represents the original function, while the purple and orange lines are vertical and horizontal reflections, respectively. Free to share, print, make copies and changes. Get yours at www.boundless.com Boundless. "Interactive Graph: Reflected Functions." CC BY-SA 3.0 https://www.boundless.com/image/interactive-graph-reflected-functions View on Boundless.comCC BY-SA 3.0https://www.boundless.com/image/interactive-graph-reflected-functionsView on Boundless.com Graphs, Functions, and Models

20. Interactive Graph: Basic Quadratic Equation Graph of three different y=x2 equations. The blue curve indicates the original function while the red and green curves represent two vertical translations of that function. Try to move the graph vertically. For more of a challenge, try to move the graph horizontally. Free to share, print, make copies and changes. Get yours at www.boundless.com Boundless. "Interactive Graph: Basic Quadratic Equation." CC BY-SA 3.0 https://www.boundless.com/image/interactive-graph-basic-quadratic-equation View on Boundless.comCC BY-SA 3.0https://www.boundless.com/image/interactive-graph-basic-quadratic-equationView on Boundless.com Graphs, Functions, and Models

21. Free to share, print, make copies and changes. Get yours at www.boundless.com Graphs, Functions, and Models Which of the following capital letters has line symmetry? A) J B) L C) X D) P

22. Free to share, print, make copies and changes. Get yours at www.boundless.comwww.boundless.com Boundless - LO. "Boundless." CC BY-SA 3.0 http://www.boundless.com/CC BY-SA 3.0http://www.boundless.com/ Graphs, Functions, and Models Which of the following capital letters has line symmetry? A) J B) L C) X D) P

23. Free to share, print, make copies and changes. Get yours at www.boundless.com Graphs, Functions, and Models Which of the following capital letters _______as rotational symmetry? A) G B) H C) V D) A

24. Free to share, print, make copies and changes. Get yours at www.boundless.comwww.boundless.com Boundless - LO. "Boundless." CC BY-SA 3.0 http://www.boundless.com/CC BY-SA 3.0http://www.boundless.com/ Graphs, Functions, and Models Which of the following capital letters _______as rotational symmetry? A) G B) H C) V D) A

25. Free to share, print, make copies and changes. Get yours at www.boundless.com Graphs, Functions, and Models Which of the following functions is odd? A) f(x)=6x5-x3 B) f(x)=3x4-4x3 C) f(x)=5x4+3x2 D) f(x)=x6+8x2

26. Free to share, print, make copies and changes. Get yours at www.boundless.comwww.boundless.com Boundless - LO. "Boundless." CC BY-SA 3.0 http://www.boundless.com/CC BY-SA 3.0http://www.boundless.com/ Graphs, Functions, and Models Which of the following functions is odd? A) f(x)=6x5-x3 B) f(x)=3x4-4x3 C) f(x)=5x4+3x2 D) f(x)=x6+8x2

27. Free to share, print, make copies and changes. Get yours at www.boundless.com Graphs, Functions, and Models Which of the following functions is even? A) f(x)=x4+x2 B) f(x)=x5+x3 C) f(x)=x4+x3 D) f(x)=x3+x

28. Free to share, print, make copies and changes. Get yours at www.boundless.comwww.boundless.com Boundless - LO. "Boundless." CC BY-SA 3.0 http://www.boundless.com/CC BY-SA 3.0http://www.boundless.com/ Graphs, Functions, and Models Which of the following functions is even? A) f(x)=x4+x2 B) f(x)=x5+x3 C) f(x)=x4+x3 D) f(x)=x3+x

29. Free to share, print, make copies and changes. Get yours at www.boundless.com Graphs, Functions, and Models Which of the following types of transformations results in an image that is not that same size as the original image? A) Rotation B) Reflection C) Translation D) Scaling

30. Free to share, print, make copies and changes. Get yours at www.boundless.comwww.boundless.com Boundless - LO. "Boundless." CC BY-SA 3.0 http://www.boundless.com/CC BY-SA 3.0http://www.boundless.com/ Graphs, Functions, and Models Which of the following types of transformations results in an image that is not that same size as the original image? A) Rotation B) Reflection C) Translation D) Scaling

31. Free to share, print, make copies and changes. Get yours at www.boundless.com Graphs, Functions, and Models Which of the following does NOT always stay the same during a transformation (but it does in some cases)? A) Orientation of the vertices B) Angle measures C) Parallelism D) Length of a side

32. Free to share, print, make copies and changes. Get yours at www.boundless.comwww.boundless.com Boundless - LO. "Boundless." CC BY-SA 3.0 http://www.boundless.com/CC BY-SA 3.0http://www.boundless.com/ Graphs, Functions, and Models Which of the following does NOT always stay the same during a transformation (but it does in some cases)? A) Orientation of the vertices B) Angle measures C) Parallelism D) Length of a side

33. Free to share, print, make copies and changes. Get yours at www.boundless.com Graphs, Functions, and Models Starting with the function f(x)=x4+2, which of the following functions shifts the function UP 3 units? A) f(x)=(x+3)4+2 B) f(x)=x4+3 C) f(x)=x4+5 D) f(x)=(x-3)4+2

34. Free to share, print, make copies and changes. Get yours at www.boundless.comwww.boundless.com Boundless - LO. "Boundless." CC BY-SA 3.0 http://www.boundless.com/CC BY-SA 3.0http://www.boundless.com/ Graphs, Functions, and Models Starting with the function f(x)=x4+2, which of the following functions shifts the function UP 3 units? A) f(x)=(x+3)4+2 B) f(x)=x4+3 C) f(x)=x4+5 D) f(x)=(x-3)4+2

35. Free to share, print, make copies and changes. Get yours at www.boundless.com Graphs, Functions, and Models Starting with the function f(x)=x3-6, which of the following functions shifts the function to the LEFT by 4 units? A) f(x)=(x-3)3-6 B) f(x)=x3-2 C) f(x)=(x+3)3-6 D) f(x)=x3+4

36. Free to share, print, make copies and changes. Get yours at www.boundless.comwww.boundless.com Boundless - LO. "Boundless." CC BY-SA 3.0 http://www.boundless.com/CC BY-SA 3.0http://www.boundless.com/ Graphs, Functions, and Models Starting with the function f(x)=x3-6, which of the following functions shifts the function to the LEFT by 4 units? A) f(x)=(x-3)3-6 B) f(x)=x3-2 C) f(x)=(x+3)3-6 D) f(x)=x3+4

37. Free to share, print, make copies and changes. Get yours at www.boundless.com Graphs, Functions, and Models Which equation shows what _______ would look like reflected in the y-axis? A) y=x2-3 B) y=-x2-3 C) y=-x2+3 D) y=x2+3

38. Free to share, print, make copies and changes. Get yours at www.boundless.comwww.boundless.com Boundless - LO. "Boundless." CC BY-SA 3.0 http://www.boundless.com/CC BY-SA 3.0http://www.boundless.com/ Graphs, Functions, and Models Which equation shows what _______ would look like reflected in the y-axis? A) y=x2-3 B) y=-x2-3 C) y=-x2+3 D) y=x2+3

39. Free to share, print, make copies and changes. Get yours at www.boundless.com Graphs, Functions, and Models Which equation shows what y=x2+3 would look like reflected in the x-axis? A) y=x2+3 B) y=-x2-3 C) y=x2-3 D) y=-x2+3

40. Free to share, print, make copies and changes. Get yours at www.boundless.comwww.boundless.com Boundless - LO. "Boundless." CC BY-SA 3.0 http://www.boundless.com/CC BY-SA 3.0http://www.boundless.com/ Graphs, Functions, and Models Which equation shows what y=x2+3 would look like reflected in the x-axis? A) y=x2+3 B) y=-x2-3 C) y=x2-3 D) y=-x2+3

41. Free to share, print, make copies and changes. Get yours at www.boundless.com Graphs, Functions, and Models The point (-4,5) is reflected over the line y=x. What is the result? A) (4,-5) B) (-5,4) C) (5,-4) D) (-4,-5)

42. Free to share, print, make copies and changes. Get yours at www.boundless.comwww.boundless.com Boundless - LO. "Boundless." CC BY-SA 3.0 http://www.boundless.com/CC BY-SA 3.0http://www.boundless.com/ Graphs, Functions, and Models The point (-4,5) is reflected over the line y=x. What is the result? A) (4,-5) B) (-5,4) C) (5,-4) D) (-4,-5)

43. Free to share, print, make copies and changes. Get yours at www.boundless.com Graphs, Functions, and Models Which of the following functions would shrink y=cosx vertically by a factor of 2? A) y=cos(x/2) B) y=2cosx C) y=cos(2x) D) y=(cosx)/2

44. Free to share, print, make copies and changes. Get yours at www.boundless.comwww.boundless.com Boundless - LO. "Boundless." CC BY-SA 3.0 http://www.boundless.com/CC BY-SA 3.0http://www.boundless.com/ Graphs, Functions, and Models Which of the following functions would shrink y=cosx vertically by a factor of 2? A) y=cos(x/2) B) y=2cosx C) y=cos(2x) D) y=(cosx)/2

45. Free to share, print, make copies and changes. Get yours at www.boundless.com Graphs, Functions, and Models Which of the following functions would stretch y=cosx horizontally by a factor of 4? A) y=4cosx B) y=(cosx)/4 C) y=cos(x/4) D) y=cos(4x)

46. Free to share, print, make copies and changes. Get yours at www.boundless.comwww.boundless.com Boundless - LO. "Boundless." CC BY-SA 3.0 http://www.boundless.com/CC BY-SA 3.0http://www.boundless.com/ Graphs, Functions, and Models Which of the following functions would stretch y=cosx horizontally by a factor of 4? A) y=4cosx B) y=(cosx)/4 C) y=cos(x/4) D) y=cos(4x)

47. Attribution Wiktionary. "quadratic." CC BY-SA 3.0 http://en.wiktionary.org/wiki/quadraticCC BY-SA 3.0http://en.wiktionary.org/wiki/quadratic Wikidot. "Transformations - IB Math Stuff." CC BY-SA http://ibmathstuff.wikidot.com/transformationsCC BY-SAhttp://ibmathstuff.wikidot.com/transformations Wikipedia. "Symmetry in mathematics." CC BY-SA 3.0 http://en.wikipedia.org/wiki/Symmetry_in_mathematicsCC BY-SA 3.0http://en.wikipedia.org/wiki/Symmetry_in_mathematics Wikipedia. "Symmetry in mathematics." CC BY-SA 3.0 http://en.wikipedia.org/wiki/Symmetry_in_mathematicsCC BY-SA 3.0http://en.wikipedia.org/wiki/Symmetry_in_mathematics Wikipedia. "boolean-valued function." CC BY-SA 3.0 http://en.wikipedia.org/wiki/boolean-valued%20functionCC BY-SA 3.0http://en.wikipedia.org/wiki/boolean-valued%20function Wiktionary. "commutative." CC BY-SA 3.0 http://en.wiktionary.org/wiki/commutativeCC BY-SA 3.0http://en.wiktionary.org/wiki/commutative Wikidot. "Transformations - IB Math Stuff." CC BY-SA http://ibmathstuff.wikidot.com/transformationsCC BY-SAhttp://ibmathstuff.wikidot.com/transformations Wikibooks. "Algebra/Absolute Value." CC BY-SA 3.0 http://en.wikibooks.org/wiki/Algebra/Absolute_Value#TranslationsCC BY-SA 3.0http://en.wikibooks.org/wiki/Algebra/Absolute_Value#Translations Wikipedia. "Translation (geometry)." CC BY-SA 3.0 http://en.wikipedia.org/wiki/Translation_(geometry)CC BY-SA 3.0http://en.wikipedia.org/wiki/Translation_(geometry) Wiktionary. "vector." CC BY-SA 3.0 http://en.wiktionary.org/wiki/vectorCC BY-SA 3.0http://en.wiktionary.org/wiki/vector Wikipedia. "Even and odd functions." CC BY-SA 3.0 http://en.wikipedia.org/wiki/Even_and_odd_functionsCC BY-SA 3.0http://en.wikipedia.org/wiki/Even_and_odd_functions Wiktionary. "additive inverse." CC BY-SA 3.0 http://en.wiktionary.org/wiki/additive+inverseCC BY-SA 3.0http://en.wiktionary.org/wiki/additive+inverse Wiktionary. "parity." CC BY-SA 3.0 http://en.wiktionary.org/wiki/parityCC BY-SA 3.0http://en.wiktionary.org/wiki/parity Wikipedia. "Transformation (function)." CC BY-SA 3.0 http://en.wikipedia.org/wiki/Transformation_(function)CC BY-SA 3.0http://en.wikipedia.org/wiki/Transformation_(function) Wikidot. "Transformations - IB Math Stuff." CC BY-SA http://ibmathstuff.wikidot.com/transformationsCC BY-SAhttp://ibmathstuff.wikidot.com/transformations Wikipedia. "euclidean space." CC BY-SA 3.0 http://en.wikipedia.org/wiki/euclidean%20spaceCC BY-SA 3.0http://en.wikipedia.org/wiki/euclidean%20space Wikidot. "Transformations - IB Math Stuff." CC BY-SA http://ibmathstuff.wikidot.com/transformationsCC BY-SAhttp://ibmathstuff.wikidot.com/transformations Free to share, print, make copies and changes. Get yours at www.boundless.com Graphs, Functions, and Models

48. Wikipedia. "Reflection (mathematics)." CC BY-SA 3.0 http://en.wikipedia.org/wiki/Reflection_(mathematics)CC BY-SA 3.0http://en.wikipedia.org/wiki/Reflection_(mathematics) Wiktionary. "reflection." CC BY-SA 3.0 http://en.wiktionary.org/wiki/reflectionCC BY-SA 3.0http://en.wiktionary.org/wiki/reflection Wiktionary. "isometry." CC BY-SA 3.0 http://en.wiktionary.org/wiki/isometryCC BY-SA 3.0http://en.wiktionary.org/wiki/isometry Wiktionary. "transformation." CC BY-SA 3.0 http://en.wiktionary.org/wiki/transformationCC BY-SA 3.0http://en.wiktionary.org/wiki/transformation Free to share, print, make copies and changes. Get yours at www.boundless.com Graphs, Functions, and Models