Question

ОА.

a 90° counterclockwise rotation about the origin, and then a dilation by a scale factor of 2
OB.
a reflection across the x-axis, and then a dilation by a scale factor of 3
a reflection across the x-axls, and then a dilation by a scale factor of 2
Ос.
D.
a 90° counterclockwise rotation about the origin, and then a dilation by a scale factor of 3

Answer 1

From the graph, we have a reflection across the x-axls, and then a dilation by a scale factor of 2

How to get the graph

Assuming the pre-image side is 2 units, and the corresponding image's side is 1 unit does not directly imply a scale factor of 2. A scale factor defines the ratio between the measurements of corresponding sides in a figure and its transformation.

The assertion that the pre-image is on one side of the x-axis while the image is on the other side indicate a transformation involving reflection across the x-axis.

Answer 2

a 90° counterclockwise rotation about the origin, and then a dilation by a scale factor of 2

Explanation:

At Image I, we have vertex at point (3,-2), and the length of the left side is of 1 unit(from -2 to -3).

In the larger figure, this length is of 2 units, so the dilation has a scale factor of 2 units. The rotation, due to the coordinates changing, is of 90º counterclockwise(if it was across the x-axis, only the y coordinate would change, but on image II, both coordinates change).

So the correct answer is:

a 90° counterclockwise rotation about the origin, and then a dilation by a scale factor of 2