A region R in the xy-plane is given. Find equations for a transformation T that maps a

Question:

A region R in the xy-plane is given. Find equations for a transformation T that maps a rectangular region S in the uv-plane onto R, where the sides of S are parallel to the u- and v-axes as shown in the figure below. (Enter your answers as a comma-separated list of equations.)
R is bounded by y = 2x ˆ’ 3, y = 2x + 3, y = 3 ˆ’ x, y = 5 - x