Transformations with Functions Practice

Which transformation of y=f(x) moves the graph 7 units to the left and 3 units down?

• y = f(x + 7) - 3

• y = f(x + 7) + 3

• y = f(x - 7) - 3

• y = f(x - 7) + 3

Tags

CCSS.HSF.BF.B.3

The minimum point on the graph of the equation y = f(x) is (-1,-3). What is the minimum point on the graph of the equation y = f(x) + 5?

• (-1,2)

• (-1,-8)

• (4,-3)

• (-6,-3)

Tags

CCSS.HSF.BF.B.3

The maximum point on the graph of the equation y = f(x) is (2,-3). What is the maximum point on the graph of the equation y = f(x - 4)?

• (2,-7)

• (-2,-3)

• (6,-7)

• (6,-3)

Tags

CCSS.HSF.BF.B.3

The graph to the side represents f(x).

Which of the following is the graph of -f(x)?

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Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

The accompanying graph represents the equation y = f(x).

Which graph represents g(x) if g(x) = -f(x)?

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Tags

CCSS.HSF.BF.B.3

The graph on the side represents f(x).

Which graph best represents f(-x).

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Tags

CCSS.HSF-IF.C.7B

The graph to the side shows the function f(x).

Which graph represents the function f(x + 2)?

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The graph of y = f(x) is shown to the side.

What is the graph of y = f(x + 1) - 2?

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Tags

CCSS.HSF.BF.B.3

Consider the function y = h(x), defined by the first graph.

Which equation could be used to represent the second graph?

• y = h(x) - 2

• y = h(x - 2)

• y = -h(x)

• y = h(-x)

Tags

CCSS.HSF.BF.B.3

The graph to the side represents national and New York State average gas prices. If New York State's gas prices are modeled by G(x) and C > 0, which expression best approximates the national average x months from August 2014?

• G(x + C)

• G(x) + C

• G(x - C)

• G(x) - C

Tags

CCSS.HSF-IF.C.7E