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. Parabolas Standard Form and Completing the Square Applications and Problem-Solving The Parabola Conic Sections > The Parabola Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/algebra?campaign_content=book_196_section_49&campaign_term=Algebra&utm_campaign=powerpoint&utm_medium=dir ect&utm_source=boundless

5. Parabolas are frequently encountered as graphs of quadratic functions, including the very common equation y=x^2. All parabolas contain a focus, a directrix, and an axis of symmetry that vary in exact location depending on the equation used to define the parabola. Parabolas are frequently used in physics and engineering in places such as automobile headlight reflectors and in the design of ballistic missiles. Parabolas Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/algebra/textbooks/boundless-algebra-textbook/conic-sections-7/the-parabola-49/parabolas-213- 5832?campaign_content=book_196_section_49&campaign_term=Algebra&utm_campaign=powerpoint&utm_medium=direct&utm_source=boundl ess View on Boundless.com Conic Sections > The Parabola

6. Quadratic equations are graphed as parabolas. The standard form of a parabola is y = a(x-h)2 + k. Completing the square is a technique used to solve for the x-intercepts, a necessary first step in graphing a quadratic equation as a parabola. Standard Form and Completing the Square Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/algebra/textbooks/boundless-algebra-textbook/conic-sections-7/the-parabola-49/standard-form-and-completing-the-square- 214- 528?campaign_content=book_196_section_49&campaign_term=Algebra&utm_campaign=powerpoint&utm_medium=direct&utm_source=boundle ss View on Boundless.com Conic Sections > The Parabola

7. Projectiles and missiles follow an approximate parabolic path; they are approximate because real-world imperfections affect the movement of an object. Parabolic reflectors are common in today's microwave and satellite dish receiving and transmitting antennas. Paraboloids are also observed in the surface of a liquid confined to a container and rotated around the central axis. Applications and Problem-Solving Free to share, print, make copies and changes. Get yours at www.boundless.com www.boundless.com/algebra/textbooks/boundless-algebra-textbook/conic-sections-7/the-parabola-49/applications-and-problem-solving-215- 7358?campaign_content=book_196_section_49&campaign_term=Algebra&utm_campaign=powerpoint&utm_medium=direct&utm_source=boundl ess Parabolic Water Trajectory View on Boundless.com Conic Sections > The Parabola

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

9. Key terms ballistic Or relating to projectiles moving under their own momentum, air drag, gravity and sometimes rocket power ballistics The science of objects that predominately fly under the effects of gravity; observing their momentum and atmospheric drag; and dealing with details of their behaviour at the origin and destination of their flight, as of bullets, missiles or rockets. conical Shaped like a cone; of or relating to a cone or cones. directrix A line used to define a curve or surface; especially a line, the distance from which a point on a conic has a constant ratio to that from the focus parabola The conic section formed by the intersection of a cone with a plane parallel to a plane tangent to the cone; the locus of points equidistant from a fixed point (the focus) and line (the directrix). projectile Any object propelled through space by the application of a force. vertex A point on the curve with a local minimum or maximum of curvature. Free to share, print, make copies and changes. Get yours at www.boundless.com Conic Sections

10. Interactive Graph: Parabolic Reflector Graph of the quadratic equation. Note how the source light (Q1, Q2, Q3) reflects off different portions of the parabola, but collects at the same focal point (F). Free to share, print, make copies and changes. Get yours at www.boundless.com Boundless. "Interactive Graph:." CC BY-SA 3.0 https://www.boundless.com/image/interactive-graph-98794611-cac3-41b1-88f6-c4c12d0a629a View on Boundless.comCC BY-SA 3.0https://www.boundless.com/image/interactive-graph-98794611-cac3-41b1-88f6-c4c12d0a629aView on Boundless.com Conic Sections

11. Parabolic Water Trajectory In this image, the water shot from a fountain follows a parabolic trajectory as gravity pulls it back down. Free to share, print, make copies and changes. Get yours at www.boundless.com Wikipedia. "ParabolicWaterTrajectory." CC BY-SA http://en.wikipedia.org/wiki/File:ParabolicWaterTrajectory.jpg View on Boundless.comCC BY-SAhttp://en.wikipedia.org/wiki/File:ParabolicWaterTrajectory.jpgView on Boundless.com Conic Sections

12. Interactive Graph: Quadratic Equation Graph with the quadratic equation. The graph of this quadratic equation is a parabola with x-intercepts at -1 and -5. Free to share, print, make copies and changes. Get yours at www.boundless.com Boundless. "Interactive Graph: Quadratic Equation." CC BY-SA 3.0 https://www.boundless.com/image/interactive-graph-quadratic-equation-7699eee8-dd07-4827- b961-6338266de0e1 View on Boundless.comCC BY-SA 3.0https://www.boundless.com/image/interactive-graph-quadratic-equation-7699eee8-dd07-4827- b961-6338266de0e1View on Boundless.com Conic Sections

13. Interactive Graph: Parabola with Focus and Directrix Graph of the parabola where. Parabolic curve showing directrix (L) and focus (F). The distance from any point on the parabola to the focus (PnF) equals the perpendicular distance from the same point on the parabola to the directrix (PnQn). Free to share, print, make copies and changes. Get yours at www.boundless.com Boundless. "Interactive Graph:." CC BY-SA 3.0 https://www.boundless.com/image/interactive-graph-e6c61bdd-09ae-41eb-91aa-3ece931348d5 View on Boundless.comCC BY-SA 3.0https://www.boundless.com/image/interactive-graph-e6c61bdd-09ae-41eb-91aa-3ece931348d5View on Boundless.com Conic Sections

14. Free to share, print, make copies and changes. Get yours at www.boundless.com Conic Sections Where is the focus on a parabola whose equation is y2=20x? A) (5,0) B) (-5,0) C) (0,5) D) (0,-5)

15. 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/ Conic Sections Where is the focus on a parabola whose equation is y2=20x? A) (5,0) B) (-5,0) C) (0,5) D) (0,-5)

16. Free to share, print, make copies and changes. Get yours at www.boundless.com Conic Sections What line acts as the axis of symmetry for the parabola y=x2? A) y=0 B) x=0 C) y=x D) y=1

17. 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/ Conic Sections What line acts as the axis of symmetry for the parabola y=x2? A) y=0 B) x=0 C) y=x D) y=1

18. Free to share, print, make copies and changes. Get yours at www.boundless.com Conic Sections Where is the vertex on the parabola y=x2+4x+2? A) (-2,-2) B) (4,2) C) (-2,0) D) (2,4)

19. 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/ Conic Sections Where is the vertex on the parabola y=x2+4x+2? A) (-2,-2) B) (4,2) C) (-2,0) D) (2,4)

20. Free to share, print, make copies and changes. Get yours at www.boundless.com Conic Sections Solve the following quadratic equation by completing the square: x2+6x-7=0. A) x=-7,1 B) x=7,-1 C) x=-3,4 D) x=3,-4

21. 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/ Conic Sections Solve the following quadratic equation by completing the square: x2+6x-7=0. A) x=-7,1 B) x=7,-1 C) x=-3,4 D) x=3,-4

22. Free to share, print, make copies and changes. Get yours at www.boundless.com Conic Sections When completing the square to solve x2+6x+10=0, what is the binomial that gets squared midway through the process? A) (x+6) B) (x+3) C) (x+9) D) (x+10)

23. 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/ Conic Sections When completing the square to solve x2+6x+10=0, what is the binomial that gets squared midway through the process? A) (x+6) B) (x+3) C) (x+9) D) (x+10)

24. Free to share, print, make copies and changes. Get yours at www.boundless.com Conic Sections You are standing on a hill 80 feet high and you throw a ball upward with an initial velocity of 64 ft/s. The height of the ball h(t) in terms of the time t since the ball was thrown is h(t) = -16t2 + 64t + 80. Find the maximum height of the ball. A) 144 ft B) 150 ft C) 256 ft D) 104 ft

25. 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/ Conic Sections You are standing on a hill 80 feet high and you throw a ball upward with an initial velocity of 64 ft/s. The height of the ball h(t) in terms of the time t since the ball was thrown is h(t) = -16t2 + 64t + 80. Find the maximum height of the ball. A) 144 ft B) 150 ft C) 256 ft D) 104 ft

26. Free to share, print, make copies and changes. Get yours at www.boundless.com Conic Sections An object is launched at 19.6 m/s from a 58.8-m tall platform. The equation for the object's height s at time t seconds after launch is s(t) = –4.9t2 + 19.6t + 58.8, where s is in meters. When does the object strike the ground? A) 6 seconds after launch B) 2 seconds after launch C) 4 seconds after launch D) 7 seconds after launch

27. 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/ Conic Sections An object is launched at 19.6 m/s from a 58.8-m tall platform. The equation for the object's height s at time t seconds after launch is s(t) = –4.9t2 + 19.6t + 58.8, where s is in meters. When does the object strike the ground? A) 6 seconds after launch B) 2 seconds after launch C) 4 seconds after launch D) 7 seconds after launch

28. Attribution Wiktionary. "parabola." CC BY-SA 3.0 http://en.wiktionary.org/wiki/parabolaCC BY-SA 3.0http://en.wiktionary.org/wiki/parabola Wikipedia. "Completing the square." CC BY-SA 3.0 http://en.wikipedia.org/wiki/Completing_the_square#Solving_quadratic_equationsCC BY-SA 3.0 http://en.wikipedia.org/wiki/Completing_the_square#Solving_quadratic_equations Wikipedia. "Parabola." CC BY-SA 3.0 http://en.wikipedia.org/wiki/ParabolaCC BY-SA 3.0http://en.wikipedia.org/wiki/Parabola Wikipedia. "Completing the square." CC BY-SA 3.0 http://en.wikipedia.org/wiki/Completing_the_square#Solving_quadratic_equationsCC BY-SA 3.0 http://en.wikipedia.org/wiki/Completing_the_square#Solving_quadratic_equations Wikipedia. "Parabola." CC BY-SA 3.0 http://en.wikipedia.org/wiki/ParabolaCC BY-SA 3.0http://en.wikipedia.org/wiki/Parabola Wiktionary. "ballistic." CC BY-SA 3.0 http://en.wiktionary.org/wiki/ballisticCC BY-SA 3.0http://en.wiktionary.org/wiki/ballistic Wiktionary. "vertex." CC BY-SA 3.0 http://en.wiktionary.org/wiki/vertexCC BY-SA 3.0http://en.wiktionary.org/wiki/vertex Wiktionary. "directrix." CC BY-SA 3.0 http://en.wiktionary.org/wiki/directrixCC BY-SA 3.0http://en.wiktionary.org/wiki/directrix Wikipedia. "Parabola." CC BY-SA 3.0 http://en.wikipedia.org/wiki/Parabola#Parabolae_in_the_physical_worldCC BY-SA 3.0http://en.wikipedia.org/wiki/Parabola#Parabolae_in_the_physical_world Wiktionary. "conical." CC BY-SA 3.0 http://en.wiktionary.org/wiki/conicalCC BY-SA 3.0http://en.wiktionary.org/wiki/conical Boundless Learning. "Boundless." CC BY-SA 3.0 http://www.boundless.com//physics/definition/ballisticsCC BY-SA 3.0http://www.boundless.com//physics/definition/ballistics Wiktionary. "projectile." CC BY-SA 3.0 http://en.wiktionary.org/wiki/projectileCC BY-SA 3.0http://en.wiktionary.org/wiki/projectile Free to share, print, make copies and changes. Get yours at www.boundless.com Conic Sections