Question

Find the new coordinates of point (3, -4) if the origin is shifted to (1, 2) by a translation.

Answer 1

The coordinates of the new origin are h = 1, k = 2, and the original coordinates are given to be

x = 3, y = -4

X = x – h; Y = y – k

Substituting the values, we have

X = 3 – 1 = 2 and Y = -4 – 2 = -6

Hence, the coordinates of the point (3, -4) in the new system are (2, – 6).