Reflections A reflection is a FLIP over a line.. Also a reflection has: The same DISTANCE from a central line. The same SIZE as the original image.

Slides:

Advertisements

Similar presentations

Section 2.6 – Families of Functions Different nonvertical lines have different slopes, or y-intercepts or both. They are graphs of different linear functions.

Advertisements

Translations I can: Vocabulary: Define and identify translations.

W arm UP Translate (x – 9, y + 8) 1.B (-9, 12) 2.A (-12, -4) 3.T (22, -19) B’ (-18, 20) A’ (-21, 4) T’ (13, -11)

(7.7) Geometry and spatial reasoning The student uses coordinate geometry to describe location on a plane. The student is expected to: (B) graph reflections.

Lesson Rotations Standard G.2.4.

Translatio ns Essential Skill: Demostrate Understanding of Concept

Lesson 2: Reflecting Shapes. When Doing Reflections… You use a line of reflection No matter where the shape is in relation to the line of reflection,

Symmetry and Reflections

The Coordinate System Locating Points Plotting Points Intro to Algebra.

Essential Question: In the equation f(x) = a(x-h) + k what do each of the letters do to the graph?

 Students will be able to:  Understand how signs of the number in an ordered pair indicate the point’s location in a quadrant of the coordinate plane.

8.3 Notes Handout.

Reflections. What will we accomplish in today’s lesson? Given a pre-image and its reflected image, determine the line of reflection. Given a pre-image.

Function Transformations. Objectives: To interpret the meaning of the symbolic representations of functions and operations on functions including: a·f(x),

Section 3.2 Notes Writing the equation of a function given the transformations to a parent function.

Vertical shifts (up) A familiar example: Vertical shift up 3:

Transformations xf(x) Domain: Range:. Transformations Vertical Shifts (or Slides) moves the graph of f(x) up k units. (add k to all of the y-values) moves.

Transformations We are going to look at some transformation rules today:

Reflections Geometry Unit 7, Lesson 1 Mrs. King. BrainPop! yandmeasurement/transformation/previ ew.weml

Reflections on a Coordinate Plane (Day 2)

Transformation a change of position, shape or size of a figure Three types of transformation A slide called a translation A flip, called a reflection The.

Coordinate Algebra Unit 5, Lesson 2 Reflections in the Coordinate Plane.

Reflection: an isometry (or rigid motion) in which a figure is flipped giving its image an opposite orientation.

Reflecting over the x-axis and y-axis

Properties of Reflections. Warm up Triangle ABC has vertices A(1, 1), B(3, 1), and C(2, 4). Describe how each reflection changes the coordinates of the.

Lesson 9.9 Line Reflections and Symmetry. Line of Symmetry Divides the figure in two congruent halves.

Reflection MCC8.G.3 Describe the effect of dilations, translations, rotations and reflections on two-dimensional figures using coordinates. Picture with.

Getting started.

SLOPE The ratio of the vertical change to the horizontal change.

Chapter 5 LINEAR FUNCTIONS. Section 5-1 LINEAR FUNCTION – A function whose graph forms a straight line.  Linear functions can describe many real- world.

Advanced Algebra II Notes 4.5 Reflections and the Square Root Family

The Coordinate Plane By: Christine Berg Edited By:VTHamilton.

Symmetry Two points, P and P ₁, are symmetric with respect to line l when they are the same distance from l, measured along a perpendicular line to l.

Warm up Translate (x – 9, y + 8) 1.B (-9, 12) 2.A (-12, -4) 3.T (22, -19) B’ (-18, 20) A’ (-21, 4) T’ (13, -11)

Reflections. Reflect across the x-axis Change the sign of the y-value.

Warm up Translate (x – 9, y + 8) 1.B (-9, 12) 2.A (-12, -4) 3.T (22, -19) B’ (-18, 20) A’ (-21, 4) T’ (13, -11)

Transformations A rule for moving every point in a figure to a new location.

Chapter The Cartesian Plane Ms. Robin. You will learn: To label the axes and origin of a Cartesian plane Identify and plot points on a Cartesian.

Notes Over 2.4 Graphs of Common Functions Be Familiar with These Common Functions.

Transformations Transformations of Functions and Graphs We will be looking at simple functions and seeing how various modifications to the functions transform.

Stretching, Shrinking, and Reflecting

N18-Reflections With Absolute Value f(x) XY

Reflections Day 119 Learning Target: Students can represent transformations in the plane; describe transformations as functions that take points in the.

Reflections Chapter 3 Section 7. Reflections A reflection – is a transformation that flips an image over a line. o This line is called the line of reflection.

Transformations LESSON 26POWER UP FPAGE 169. Transformations The new image is read as “A prime, B prime, C prime”

GRAPHING REFLECTIONS OF PARABOLAS. Review: Reflections  A reflection is the result of replacing x with –x or f(x) with –f(x).  The former causes a reflection.

EQ: How can transformations effect the graph a parent function? I will describe how transformations effect the graph of a parent function.

1.8 Glide Reflections and Compositions Warm Up Determine the coordinates of the image of P(4, –7) under each transformation. 1. a translation 3 units left.

Quadratic Functions, Translation and Reflection

9-2 Reflections Objective: To find reflection images of figures.

2.6a Function Transformations I’ve seen enough horror movies to know any weirdo wearing a mask is never friendly. -Lizabeth.

Warm up Translate (x – 9, y + 8) 1.B (-9, 12) 2.A (-12, -4) 3.T (22, -19) B’ (-18, 20) A’ (-21, 4) T’ (13, -11)

I. There are 4 basic transformations for a function f(x). y = A f (Bx + C) + D A) f(x) + D (moves the graph + ↑ and – ↓) B) A f(x) 1) If | A | > 1 then.

Coordinate System. The First Quadrant The first thing you have to know about the coordinate plane are the axes. The x-axis is horizontal. In the first.

The Coordinate Plane 101 ALGEBRA 11/16/15. The coordinate plane is a set of axis on which ordered pairs of input and output values can be plotted.

Distance and Reflections Review. Distance Review Cancel out the coordinates that are the same. Subtract if the signs are the same. Add if the signs are.

Chapter Exploring Transformations

9.2 Properties of Reflections

SLOPE The ratio of the vertical change to the horizontal change.

5-1 The Coordinate Plane Introduction. Coordinate Graph.

Geometric Transformations Math 9. 1.) Translations A slide! Moving the shape left or right and/or up or down. The shape can move horizontally (left/right)

2.6 Families of Functions Sets of functions, called families, in what each function is a transformation of a special function called the parent. Linear.

WARM UP Translate by (x – 9, y + 8) 1.B (-9, 12) 2.A (-12, -4) 3.T (22, -19) B’ (-18, 20) A’ (-21, 4) T’ (13, -8)

Translations and Reflections.  Move the figure  Same shape and size (Congruent) (x ± n, y ± m)  x + n, move every point n units to the right  x –

Review Homework. EOC Review Question of the Day Reflections.

Twenty Questions Rational Functions Twenty Questions

Transformationf(x) y = f(x) + c or y = f(x) – c up ‘c’ unitsdown ‘c’ units EX: y = x 2 and y = x F(x)-2 xy F(x) xy

Graphing & Describing “Reflections”. We have learned that there are 4 types of transformations: 1)Translations 2)Reflections 3)Rotations 4)Dilations The.

Maps one figure onto another figure in a plane.

Presentation transcript:

Reflections A reflection is a FLIP over a line.

Also a reflection has: The same DISTANCE from a central line. The same SIZE as the original image.

Reflect across the x-axis Change the sign of the y-value

Reflect across the y-axis Change the sign of the x-value

Reflect across the x-axis

Reflect across the y-axis

You Try! Reflect over the x-axis

You Try! Reflect over the y-axis

More Reflections Positive Diagonal Line Negative Diagonal Line Horizontal Line Vertical Line

Reflect across y = x Swap x and y

Reflect across y = x

Reflect across y = -x Swap and change both signs

Reflect across y = -x

Reflect across y = x