Question

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

What is the distance from A to A'?
VO
2/2
5
2/5

Answer 1

Answer: Choice D)
`2√(5)`

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Work Shown:

Point A starts at (-2,3) and moves to (2,5) after applying the translation rule of "shift 4 to the right, 2 up".

Use the distance formula to find the distance from (-2,3) to (2,5)

`d = √((x_1 - x_2)^2 + (y_1 - y_2)^2)\\\\d = √((-2-2)^2 + (3-5)^2)\\\\d = √((-4)^2 + (-2)^2)\\\\d = √(16 + 4)\\\\d = √(20)\\\\d = √(4*5)\\\\d = √(4)*√(5)\\\\d = 2√(5)\\\\d \approx 4.472136\\\\`