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Give the coordinates of each transformation of (2, –3). 1. horizontal translation of 5 2. vertical translation of – 1 3. reflection across the x-axis 4.

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Presentation on theme: "Give the coordinates of each transformation of (2, –3). 1. horizontal translation of 5 2. vertical translation of – 1 3. reflection across the x-axis 4."— Presentation transcript:

1 Give the coordinates of each transformation of (2, –3). 1. horizontal translation of 5 2. vertical translation of – 1 3. reflection across the x-axis 4. reflection across the y-axis (7, –3) (2, 3) (2, –4) (–2, –3) Bell Ringer number your answers; you do not need to write question

2 Transform linear functions. Solve problems involving linear transformations. 1.3 Objectives Students will: learn to transform functions by transforming each point. Transformations can function notation also be expressed by using function notation.

3 Teaching note following slide Remind students what it means to be symmetric Get students to explain difference is opposite sign; possibly label coordinates and see if they can see change of sign. ** use thin paper for demo** Fold paper along axis of symmetry  darken shape  press down, this will get them the image. Have students realize reflection simply changes sign in front of # prior to revealing property

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5

6 k

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8 h

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10 m (a)

11 Teaching note Pass out packet, 4 pages, FUNCTION TRANSFORMATIONS as students are copying next slide. (assign due date) Recommend students make a flip chart Set up side work board for following slides. Students need to see addition of 5 to (1, 6). – use transparency with overhead – ** copy slide 13 & 14 onto transparency Exit Question long

12 INVESTIGATION of Function Transformations “external” changes affect the “vertical” “internal” changes affect the “horizontal”

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14 WRITING TRANSFORMATIONAL CHANGES functionf(x) + 3f(x) - 25f(x)-f(x)f(x + 4)f(x - 1)f(-2x) f(x) = 4x f(x) = x 2 Describe graph changes

15 Exit Question


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