Question

May I please get help with finding the original and final points? I also need help with where I should put the reflection as it is confusing for me

Answer 1

Let us label the figure as shown below

The first step is to find the coordinates of vertices A,B, C and D in the original graph. We have

A = (- 7, - 2)

B = large dot = (- 4, - 2)

C = (- 3, - 4)

D = (- 6, - 4)

Recall, if we reflect a figure with coordinates (x, y) across the y axis, the sign of the y axis remains the same while the sign of the x axis is reversed. The new coordinates would be (- x, y)

Thus, if we rotate figure ABCD across the y axis, the new coordinates would be

A' = (- - 7, - 2) = (7, - 2)

B' = (- - 4, - 2) = (4, - 2)

C' = (- - 3, - 4) = (3, - 4)

D' = (- - 6, - 4) = (6, - 4)