The point A(-2, 3) is translated using T: (x,y) → (x + 4, y + 2).

Question

What is the distance from A to A'?
square root 6
2 square root 2
5
2 square root 5

Answer 1

A(-2,3),A'(x,y).

x+4 = -2+4 = 2.
y+2 = 3+2 = 5.

A(-2,3),A'(2,5).

D^2 = (2-(-2))^2 + (5-3)^2 = 20,
D = sqrt(20) = sqrt(4*5) = 2*sqrt5.