Transformations of Axes - Practice Questions & MCQ

Transformations of Axes

Shifting of Origin

Point P has coordinate (x, y) in the original coordinate system, i.e. in xy-coordinate system.

If the new origin takes position as O’(h, k) with new x and y axes remaining parallel to old axes.

The coordinates of the point P are now (X, Y) = (x - h, y - k) w.r.t. the new coordinate system (i.e. Y’O’X’).

Thus,  X = x - h  and  Y = y - k

Or, x = X + h  and  y = Y + k

Note: 

If the function f(x, y) = 0 is with respect to original coordinate system, then the equation with respect to new coordinate system is f(x + h, y + k) = 0.