7C Transformations of Quadratic Functions

• 3
• -9
• -3
• 9
• 0

• vertical
• down
• horizontal
• to the left
• to the right

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

Which function best represents the graph of q?

The graph of f(x)= x² is reflected over the x-axis and is stretched horizontally to create the graph of function g. Which graph could represent g?

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The graph of f(x)= x² was translated 4.5 units to the left to create the graph of function g.

Which function represents g?

The graph of quadratic parent function f was transformed to create the graph of g(x) = f(x + 2) - 5.

Which graph best represents g?

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The graph of f(x) = x² was transformed to create the graph of g(x) = f(x) − 9.

Select ALL statements that are TRUE about the graph of g.

• 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 units down from the vertex of the graph of f.

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

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

• The vertex of the graph of g is 9 units to the left of the vertex of the graph of f.

Mathematical Equivalence

OFF

• x-axis
• horizontal
• y-axis
• vertical

• horizontal
• to the right
• vertical
• to the left
• up
• down