Question

figure c is the result of a transformation on figure b. which transformation would accomplish this?

Explanation:

Step1: Observe orientation change

Figure B is rotated 90 - degree clock - wise to get Figure C. When rotating a figure 90 - degree clock - wise about the origin, the transformation rule for a point $(x,y)$ is $(x,y)\to(y, - x)$.

Step2: Check position of key points

Take key points on Figure B and apply the 90 - degree clock - wise rotation rule. For example, if a point on Figure B is $(2,0)$, after 90 - degree clock - wise rotation about the origin, it becomes $(0,-2)$ which is consistent with the position of the corresponding point on Figure C.

Answer:

A 90 - degree clock - wise rotation about the origin.