Algebra-1 Staar Review on Transformations

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. 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

Linear parent function f is graphed on the grid.

Which graph best represents h (X) = −f (X) + 3?

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The graph of quadratic function p is shown on the grid.

If k(x) = x² and p (x) = k (x) + n, what is the value of n?

• 6

• -6

• 5

• -5

The graphs of linear functions f and g are shown on the grid.

Which function is best represented by the graph of g?

• g (x) = f (x) − 4

• g (x) = 1/3 f (x)

• g (x) = f (x) − 2

• g (x) = 3f (x)

The graph of g (x) = x² was transformed to create the graph of h (x) = − (x/4)² . Which of these describes the transformation from the graph of g to the graph of h?

• 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

The graph of f(x) = x² was transformed to create the graph of g (x) = (x - 7.5)². Which of these describes this transformation?

• 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

The graph of f (x) = x² is transformed to create the graph of h (x) = 2f(x). Which graph best represents f and h?

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A student graphed f (x) = x and g (x) = f (x) + 3 on the same coordinate grid. Which statement describes how the graphs of f and g are related?

• The graph of f is shifted 3 units up to create the graph of g

• The graph of f is steeper than the graph of g.

• The graph of f is shifted 3 units down to create the graph of g

• The graph of f is less steep than the graph of g.