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

Answer

(2, 2)

Explanation

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 = 2`.

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