find the composition of transformations that map abcd to ehgf. reflect over the ?-axis, then translate (x+…

find the composition of transformations that map abcd to ehgf. reflect over the ?-axis, then translate (x+ , y+ ). note: enter x or y for axis.

find the composition of transformations that map abcd to ehgf. reflect over the ?-axis, then translate (x+ , y+ ). note: enter x or y for axis.

Answer

Explanation:

Step1: Analyze reflection

By observing the positions of the trapezoids ABCD and EHGF, we can see that they are mirror - images of each other with respect to the y - axis. When a point (x,y) is reflected over the y - axis, its new coordinates are (-x,y).

Step2: Analyze translation

After reflection over the y - axis, we need to translate the reflected figure. Comparing the corresponding points, we find that we need to translate the figure 1 unit to the right and 3 units down. In the translation rule (x + a,y + b), a = 1 and b=-3.

Answer:

y, 1, - 3