Goal: I can infer how the change in parameters transforms the graph. (F-BF.3) Unit 6 Quadratics Translating Graphs #2.

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Presentation transcript:

Goal: I can infer how the change in parameters transforms the graph. (F-BF.3) Unit 6 Quadratics Translating Graphs #2

Example #1 Use the description to write the equation for the transformation of f(x) = x 2 The parent function f(x) = x 2 is translated 6 units up.

Example #2 Use the description to write the equation for the transformation of f(x) = x 2 The parent function f(x) = x 2 is translated 4 units right.

Example #3 Use the description to write the equation for the transformation of f(x) = x 2 The parent function f(x) = x 2 is narrowed by a factor of 3 and translated 5 units up.

Example #4 How would the graph of be affected if the function were changed to ? The parabola would be wider. The parabola would be shifted up 5 units.

Example #5 How would the graph of be affected if the function were changed to ? The parabola would be open down. The parabola would be wider. The parabola would be shifted down 3 units.

Example #6 How would the graph of be affected if the function were changed to ? The parabola would be open up. The parabola would be more narrow. The parabola would be shifted down 4 units.

Example #7 Write the equation in vertex form; then describe the transformations. Vertex Form:Transformations: Opens down Narrow Left 2 spaces Down 1 space

Example #8 Write the equation in vertex form; then describe the transformations. Vertex Form:Transformations: Left 5 spaces Down 5 spaces

Example #9 Write the equation in vertex form; then describe the transformations. Vertex Form:Transformations: Opens down Narrow Left 4 spaces