Question

1. for andrew’s graph, write a “1” and a “2” next to the 1st and 2nd transformations in the sequence of transformations represented by his graph. not all choices will be used.

____ a. dilation by a scale factor of $\frac{1}{4}$
____ b. rotation 90° clockwise
____ c. translation 6 units up
____ d. dilation by a scale factor of 4
____ e. translation 6 units left

Explanation:

Step1: Analyze size change

The figure in Andrew's graph is larger than the original - like figure, so there is a dilation. The distance between corresponding points has increased by a factor of 4, so the first transformation is a dilation by a scale factor of 4.

Step2: Analyze orientation change

The orientation of the figure has changed in a way that is consistent with a 90 - degree clockwise rotation.

Answer:

d. Dilation by a scale factor of 4
b. Rotation 90° clockwise