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5.3 Translating Parabolas

5.3 Translating Parabolas. Vertex form. Form: Just like absolute value graphs, you will translate the parent function h is positive, shift right; h is negative, shift left K is positive, shift up; k is negative, shift down Vertex Axis of Symmetry . Graphing. Equation:

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5.3 Translating Parabolas

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  1. 5.3 Translating Parabolas

  2. Vertex form • Form: • Just like absolute value graphs, you will translate the parent function • h is positive, shift right; h is negative, shift left • K is positive, shift up; k is negative, shift down • Vertex • Axis of Symmetry

  3. Graphing • Equation: • Parent function: • Translation: • Could drop back to plotting like 5.2

  4. Writing Equations of Parabolas • When given a picture, write the vertex form of parabola • Plug in the vertex from the graph • Plug in another point on the parabola • Find a • Rewrite inputting a, h, and k • EX: drawing from board

  5. Writing Equations of Parabolas • When given equation in standard form • Find vertex • Input a, h, & k into vertex form • EX: write in vertex form • HW: p251-253 #4,6,8,12,14-34even, 52-56even, 68-74even

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