Families of Graphs Answers

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If the blue graph shown below is y = f(x), what is the red graph?

y = −5f(x)

y = f(5x)

y = f(x − 5)

y = f(x) − 5

The graph of y = f(x − 3) is a _____ of the graph of y = f(x).

translation of 3 units to the right

translation of 3 units up

scale change of the output by a factor of −3

scale change of the input by a factor of 3

In which of the following functions is f(−x) = f(x)?

y = sin(x)

y = x

y = x2

y = x1/3

The point (2, 4) is on the graph of f(x) = x2. What is the value of b if the point (0.5, 4) is on the graph of f(bx)?

0.5

2.5

If the point (1, 3) is on the graph of y = f(x), then what is the corresponding point on the graph of y = −2f(x)?

(−2, −6)

(1, −6)

(−2, 3)

(1, 3)

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