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Quadratics Part II Transformations. Vertex form. Fun. Unit 4.

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Presentation on theme: "Quadratics Part II Transformations. Vertex form. Fun. Unit 4."— Presentation transcript:

1 Quadratics Part II Transformations. Vertex form. Fun. Unit 4

2 LEARNING GOAL I can identify the effect of transformations on the graph of y = x 2

3 Anatomy of a Parabola

4 Everything you ever wanted to know about a Parabola

5 The Most Basic Parabola

6 Parabolas on the Move You have the rest of the period to complete PARTS A, B, and C If you don’t finish in class, use this website to complete the rest tonight: Other Homework: Skills Preparation for this Unit: p. 342 #1 ac, 4, 5, 6acegi, 7adfh, 8a, 9ce, 10b

7 Vertex Form y = a(x – h) 2 + k

8 y 1 = 2x Transformations

9 Consolidate So far: How to graph a parabola from Vertex Form METHOD 1: POINT-BY-POINT from y=x 2 Choose a point on y=x 2 Keep the x co-ordinate the same Change the y value: (y × a) + k Move left or right by h Choose another point and do it all over again!

10 y 2 = 3(x+2) 2 Transformations

11 Consolidate So far: How to graph a parabola from Vertex Form METHOD 2: STEP PATTERN Identify the vertex Plot the vertex Use the step pattern to plot the rest of the points from there  (if a ≠ 1, then multiply each step by a)

12 y 3 = 3x Transformations

13 y 4 = 2(x-3) 2 Transformations

14 y 5 = (1/5)x Transformations

15 y 6 = (1/3)(x+1) 2 Transformations


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