Transformations of Quadratic Functions

• A vertical shift up

• A horizontal shift to the left

• A vertical shift down

• A horizontal shift to the right

Quadratic functions p and q are graphed on the grid. The graph of p was transformed to create the graph of q.

Which function best represents the graph of q?

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

• The vertex of the graph of g is 9 units to the rights of the vertex of the 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 units below the y-intercept of the graph of f.

Mathematical Equivalence

ON

• 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

• 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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