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Quadratic Functions, Translation and Reflection

Quadratic Functions, Translation and Reflection. Lesson 2.2. Quadratic Function. Standard 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

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Quadratic Functions, Translation and Reflection

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  1. Quadratic Functions,Translation and Reflection Lesson 2.2

  2. Quadratic Function • Standard 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

  3. Vertex of Parabola • X-value of vertex at • Y-value of vertex at • For

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

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

  6. Translations • Now try … make predictions • These changescreated verticaltranslations • f(x) + a shift up • f(x) – a shift down

  7. Translations • What about? Predictions? • When a > 1gives verticalstretch • When 0 < a < 1gives vertical compression

  8. Reflections • Make your predictions again for these variations • -f(x) gives reflectionin the x-axis • f(-x) gives reflectionin y-axis

  9. Combinations • Given • What happens when we have these variations?

  10. Assignment • Lesson 2.2 • Page 79 • Exercises 1 – 61 EOO

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