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5-3 T RANSFORMING PARABOLAS ( PART 1) Big Idea: -Demonstrate and explain what changing a coefficient has on the graph of quadratic functions.

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Presentation on theme: "5-3 T RANSFORMING PARABOLAS ( PART 1) Big Idea: -Demonstrate and explain what changing a coefficient has on the graph of quadratic functions."— Presentation transcript:

1 5-3 T RANSFORMING PARABOLAS ( PART 1) Big Idea: -Demonstrate and explain what changing a coefficient has on the graph of quadratic functions.

2 V ERTEX FORM OF A QUADRATIC FUNCTION y = a(x - h)² + k Vertex: (h, k) Vertical stretch: a>1 Vertical shrink: 0<a<1 Reflection in x-axis: -a

3 Vertical Shrink Vertical Stretch Reflection

4 E X 1: G RAPH EACH FUNCTION. I DENTIFY THE AXIS OF SYMMETRY. A)

5 B)

6 C)

7 E X 2: W RITE THE EQUATION OF EACH PARABOLA IN VERTEX FORM. A)

8 B) (3, 0) (1, 4)

9 C) (-1, 8) (0, 6)


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