SAT II Math II : Transformations

Study concepts, example questions & explanations for SAT II Math II

varsity tutors app store varsity tutors android store

Example Questions

Example Question #1 : Transformations

Axes_1

Refer to the above figure.

Which of the following functions is graphed?

Possible Answers:

The correct answer is not given among the other responses.

Correct answer:

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,

Example Question #2 : Transformations

Axes_1

Refer to the above figure.

Which of the following functions is graphed?

Possible Answers:

Correct answer:

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,

Example Question #3 : Transformations

Axes_1

Refer to the above figure.

Which of the following functions is graphed?

Possible Answers:

Correct answer:

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 

Example Question #4 : Transformations

Axes_1

Refer to the above figure.

Which of the following functions is graphed?

Possible Answers:

Correct answer:

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

Example Question #3 : Transformations

Axes_1

Refer to the above figure.

Which of the following functions is graphed?

Possible Answers:

Correct answer:

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

Learning Tools by Varsity Tutors

Incompatible Browser

Please upgrade or download one of the following browsers to use Instant Tutoring: