Question

determine a series of transformations that would map figure r onto figure s.
answer
a followed by a

Explanation:

1. First, identify the orientation change: Figure R is above the x-axis, Figure S is below/on the x-axis, so a reflection over the x-axis is needed. This flips the y-coordinates of all points in Figure R to their negatives.
2. Next, find the horizontal shift: Take a key point from Figure R, e.g., (-7,6). After reflection, it becomes (-7,-6). The corresponding point in Figure S is (7,-1). Calculate the horizontal translation: $7 - (-7) = 14$, so shift right 14 units. This moves the reflected figure to match the position of Figure S.

Answer:

Reflection over the x-axis, followed by a horizontal translation 14 units to the right.