Question

what is the image point of (0, -5) after a translation right 5 units and up 2 units?

Explanation:

Step1: Translate x - coordinate

Add 5 to the x - coordinate of the original point. The original x - coordinate is 0, so the new x - coordinate is $0 + 5=5$.

Step2: Translate y - coordinate

Add 2 to the y - coordinate of the original point. The original y - coordinate is - 5, so the new y - coordinate is $-5 + 2=-3$.

Answer:

$(5,-3)$