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 transcript:

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

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

Vertical Shrink Vertical Stretch Reflection

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

B)

C)

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

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

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