find the composition of transformations that map abcd to ehgf. reflect over the y - axis, then translate…

Explanation:

Step1: Analyze x - coordinate change

Let's take a point, say point A. Assume A has coordinates (x1, y1). After reflection over the y - axis, its x - coordinate changes sign. Then, to map to the corresponding point on EHGF, we observe the horizontal shift. If we consider the x - coordinates of corresponding points before and after translation. For example, if we look at the left - most points of the two trapezoids, we see that after reflection over the y - axis, we need to move 1 unit to the right. So the change in x is + 1.

Step2: Analyze y - coordinate change

Looking at the vertical position of corresponding points, say the top - most points of the two trapezoids. After reflection over the y - axis, we need to move 3 units down. So the change in y is - 3.

Answer:

x+[1], y+[-3]