Transformations of a Quadratic Function

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A.7.C

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A.7.C

• The graph of g is a reflection of the graph of f across the x-axis.

• The vertex of the graph of g is 9 unites to the right of the vertex of graph of f.

• The graph of g is a reflection of the graph of f across the y-axis.

• The y-intercept of the graph of g is 9 unites below the y-intercept of the graph of f.

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A.7.C

• A reflection over the x-axis and a horizontal stretch

• A reflection over the y-axis and a horizontal stretch

• A reflection over the x-axis and a vertical stretch

• A reflection over the y-axis and a vertical stretch

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A.7.C

• A horizontal shift to the right 7.5 units

• A horizontal shift to the left 7.5 units

• A vertical shift down 56.25 units

• A vertical shift up 56.25 units

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A.7.C

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A.7.C

• The graph of g is narrower then the graph of f.

• The graph of g is wider then the graph of f.

• The graph of g is 7 units below the graph of f.

• The graph of g is 7 units above the graph of f.

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A.7.C

Quadratic functions q and w are graphed on the same coordinate grid. The vertex of graph of q is 18 units below the vertex of graph of w. Which pair of functions could have been used to create the graphs of q and w?

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A.7.C

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A.7.C

Which transformation transforms the graph of
f(x) = x² to the graph of
g(x) = (x + 4)²?

• a vertical translation 4 units up

• a vertical translation 4 units down

• a horizontal translation 4 units to the left

• a horizontal translation 4 units to the right