Question: Choose the translated coordinates of a point P in a plane when the origin O is shifted to the point O'(h, k) without changing the direction of the axes, where (x, y) and (x′, y′) are the coordinates of the point P referred to original and new axes.
A ) x′ = x - h; y′ = y - k B ) x′ = x - h; y′ = y + k C ) x′ = x + h; y′ = y + k D ) None of the above
Steps to derive
1 If the origin is shifted from O to O'(h, k) without changing the direction of axes, then the coordinates of point P based on the translated axes and the corresponding origin O' are x′ = x - h and y′ = y - k where (x, y) are the coordinates of P based on the original axes and the corresponding origin O.
