### All SAT II Math II Resources

## Example Questions

### Example Question #1 : Transformations

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:**

Below is the graph of :

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

Refer to the above figure.

Which of the following functions is graphed?

**Possible Answers:**

**Correct answer:**

Below is the graph of :

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

Refer to the above figure.

Which of the following functions is graphed?

**Possible Answers:**

**Correct answer:**

Below is the graph of :

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

Refer to the above figure.

Which of the following functions is graphed?

**Possible Answers:**

**Correct answer:**

Below is the graph of :

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 #5 : Transformations

Refer to the above figure.

Which of the following functions is graphed?

**Possible Answers:**

**Correct answer:**

Below is the graph of :

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

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