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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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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.

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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.

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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.

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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.

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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.

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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.

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

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

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

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Algebra 2. Lesson 5-3 Graph y = (x + 1) 2 – 2. 2323 Step 1:Graph the vertex (–1, –2). Draw the axis of symmetry x = –1. Step 2:Find another point. When.

Algebra 2. Lesson 5-3 Graph y = (x + 1) 2 – 2. 2323 Step 1:Graph the vertex (–1, –2). Draw the axis of symmetry x = –1. Step 2:Find another point. When.

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