# SAT II Math II : Transformations

## Example Questions

### Example Question #7 : Coordinate Geometry Refer to the above figure.

Which of the following functions is graphed? The correct answer is not given among the other responses.    Explanation:

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 #8 : Coordinate Geometry Refer to the above figure.

Which of the following functions is graphed?      Explanation:

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 #9 : Coordinate Geometry Refer to the above figure.

Which of the following functions is graphed?      Explanation:

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 #1 : Transformations Refer to the above figure.

Which of the following functions is graphed?      Explanation:

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 #1 : Transformations Refer to the above figure.

Which of the following functions is graphed?      Explanation:

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  