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 shape - size change

We observe that the final figure in Andrew's graph is larger than the original. A dilation with a scale - factor greater than 1 increases the size of the figure. So the first transformation is a dilation by a scale factor of 4.

Step2: Analyze orientation change

After dilation, the orientation of the figure has changed. A 90 - degree clock - wise rotation changes the orientation of the figure as seen in the graph.

Answer:

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