Question

Reflect , − 4 − 4 over the y -axis. Then translate the result to the right 3 units. What are the coordinates of the final point?

Answer 1

The reflection over the y-axis is the transformation
  (x, y) ⇒ (-x, y)

Translation to the right 3 units is the transformation
  (x, y) ⇒ (x+3, y)

After both transformations, you have
  (x, y) ⇒ (-x+3, y)

Then the point (-4, -4) becomes (-(-4)+3, -4) = (7, -4).