Quadratic Functions, Translation and Reflection

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Presentation transcript:

Quadratic Functions, Translation and Reflection Lesson 2.2

Quadratic Function Standard form Vertex form a, b, and c are constants a ≠ 0 (why?) Vertex form (h, k) is the vertex of the parabola value for a is the same in both forms

Vertex of Parabola X-value of vertex at Y-value of vertex at For

Translations In the Y= screen, enter the function Now enter the variations as shown Predict the results of the variations Set style: dotted thick

Horizontal Translations Shift to the right f(x – a) Shift to the left f(x + a)

Translations Now try … make predictions These changes created vertical translations f(x) + a shift up f(x) – a shift down

Translations What about? Predictions? When a > 1 gives vertical stretch When 0 < a < 1 gives vertical compression

Reflections Make your predictions again for these variations -f(x) gives reflection in the x-axis f(-x) gives reflection in y-axis

Combinations Given What happens when we have these variations?

Assignment Lesson 2.2 Page 79 Exercises 1 – 61 EOO