Question

Translate the point (1, 3) to the new origin given ( h , k ). Given center ( h , k ) = (5, 4), find point ( x ', y ').

Answer 1

(-4,-1)

Explanation:

(h,k)=(5,4) and (x,y)=(1,3)

x' = x - h = 1 - 5 = - 4

y' = y -k = 3 - 4 = - 1

Answer 2

(6,7)

Explanation:

To translate a point, move each coordinate the specified amount and direction. Since the origin (0,0) moved to (5,4) or 5 right and 4 up, move (1,3) the same amount and direction. 1 moves right to 6. 3 moves up to 7. The new point is (6,7)