Question

If the translation of (x,y)->(x-5, y+2) was applied to the triangle ABC below, what would be the coordinates for A' after the translation?
(0, 4)(0, -3)(4, -7) (-3, 0)

Answer 1

Answer: (-3,0)

To get this answer, we subtract 5 from the x coordinate and add 2 to the y coordinate. Point A is located at (x,y) = (2,-2) so we see that x = 2 and y = -2

Subtract 5 from the x coordinate: x-5 = 2-5 = -3. The new x coordinate is -3

Add 2 to the y coordinate: y+2 = -2+2 = 0. The new y coordinate is 0.

Therefore, using the rule (x,y) --> (x-5,y+2) has the mapping (2,-2) ---> (-3,0)

Check out the attached image.