A7c Quadratic Transformations

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Which answer choice describes how the graph of f(x) = x² was transformed to create the graph of n(x) = x² - 1?

• 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?

• q(x) = −(x − 3)²

• q(x) = −(x + 3)²

• q(x) = x² − 3

• q(x) = −x² + 3

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

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

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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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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?

• q(x) = (x − 3)²

• q(x) = (x + 3)²

The graph of f(x) = x² was transformed to create the graph of g(x) = f(x) – 9. Which statement about the graphs is true?

• 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 to the right 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.