Transformations

SAT Subject Test in Math II · Learn by Concept

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SAT Subject Test in Math II › Transformations

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1

Axes_1

Refer to the above figure.

Which of the following functions is graphed?

CORRECT

0

0

0

0

Explanation

Below is the graph of :

Axes_1

If the graph of is translated by shifting each point to the point , the graph of

is formed. If the graph is then shifted right by two units, the new graph is

Since the starting graph was , the final graph is

, or

2

Axes_1

Refer to the above figure.

Which of the following functions is graphed?

CORRECT

0

0

0

0

Explanation

Below is the graph of :

Axes_1

If the graph of is translated by shifting each point to the point , the graph of

is formed. If the graph is then shifted right by four units, the new graph is

Since the starting graph was , the final graph is

, or

3

Axes_1

Refer to the above figure.

Which of the following functions is graphed?

CORRECT

0

0

0

0

Explanation

Below is the graph of :

Axes_1

If the graph of is translated by shifting each point to the point , the graph of

is formed. If the graph is then shifted down by four units, the new graph is

.

Since the starting graph was , the final graph is

, or

4

Axes_1

Refer to the above figure.

Which of the following functions is graphed?

CORRECT

0

0

0

0

Explanation

Below is the graph of :

Axes_1

If the graph of is translated by shifting each point to the point , the graph of

is formed. If the graph is then shifted upward by three units, the new graph is

Since the starting graph was , the final graph is

, or,

5

Axes_1

Refer to the above figure.

Which of the following functions is graphed?

CORRECT

0

0

0

The correct answer is not given among the other responses.

0

Explanation

Below is the graph of :

Axes_1

The given graph is the graph of shifted 6 units left (that is, unit right) and 3 units up.

The function graphed is therefore

where . That is,