Question

The point A(-7,5) is reflected over the line x=-5 and then is reflected over the line x=2 what are the coordinates of A’

Answer 1

A''(7, 5)

Explanation:

Reflection over the line x=L is the transformation ...

(x, y) ⇒ (2L-x, y)

For L=-5, this is ...

(x, y) ⇒ (-10 -x, y)

Then, translation over the line x=2 gives ...

(x, y) ⇒ (2·2 -(-10 -x), y) = (14+x, y)

So, the point (-7, 5) is translated to (14-7, 5) = (7, 5).