Question 1

The function

g(x)

is a transformation of

f(x) = |x|

. If

g(x)

is obtained by shifting

f(x)

3 units to the right and 2 units down, which of the following represents

g(x)

?

Accepted Answer

g(x) = |x - 3| - 2

Answer

g(x) = |x - 3| - 2

Answer

g(x) = |x - 3| - 2

Answer

g(x) = |x - 3| - 2

Question 2

The graph of

g(x)

is transformed into

f(x) = |x|

. Which of the following describes the transformations applied to

g(x)

?

Accepted Answer

A vertical compression by a factor of

g(x)

and a horizontal shift 4 units to the right.

Answer

A horizontal stretch by a factor of 2 and a vertical shift 4 units down.

Answer

A vertical compression by a factor of

g(x)

and a horizontal shift 4 units to the left.

Answer

A vertical stretch by a factor of 2 and a horizontal shift 4 units to the left.

Question 3

The graph of

g(x)

is a transformation of

f(x) = |x|

. If the vertex of

g(x)

is at

f(x)

and it opens upward with a vertical stretch factor of

g(x)

, what is the equation of

g(x)

?

Accepted Answer

g(x) = |x - 3| - 2

Answer

g(x) = |x - 3| - 2

Answer

g(x) = |x - 3| - 2

Answer

g(x) = |x - 3| - 2

Question 4

What is the vertex of the absolute value function given by

g(x)

?

Accepted Answer

g(x) = |x - 3| - 2

Answer

g(x) = |x - 3| - 2

Answer

g(x) = |x - 3| - 2

Answer

g(x) = |x - 3| - 2

Question 5

Which set of transformations maps the graph of

g(x)

onto the graph of

f(x) = |x|

?

Accepted Answer

A reflection across the y-axis and a horizontal shift 4 units to the left.

Answer

A reflection across the x-axis and a horizontal shift 4 units to the left.

Answer

A reflection across the y-axis and a horizontal shift 4 units to the right.

Answer

A reflection across the x-axis and a horizontal shift 4 units to the right.

Question 6

Which of the following functions represents a horizontal stretch of

g(x)

by a factor of 3 and a vertical shift 1 unit up?

Accepted Answer

g(x) = |x - 3| - 2

Answer

g(x) = |x - 3| - 2

Answer

g(x) = |x - 3| - 2

Answer

g(x) = |x - 3| - 2

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