Question

If (x,y)→(x+3,y-7) maps TUVW to T'U'V'W', what is the algebraic description that will map T'U'V'W' to TUVW.

Answer 1

(B) (x,y)→(x-3,y+7)

Step-by-step explanation:

If (x,y)→(x+3,y-7) maps TUVW to T'U'V'W'

In order to determine the algebraic description that will map T'U'V'W' to TUVW, we carry out the opposite of the arithmetic functions that mapped TUVW to T'U'V'W'.

`\begin{gathered} TUVW\; to\; T^(\prime)U^(\prime)V^(\prime)W^(\prime)=\mleft(x,y\mright)\to\mleft(x+3,y-7\mright) \\ \text{Therefore:} \\ T^(\prime)U^(\prime)V^(\prime)W^(\prime)\; to\; T^{}UVW=(x,y)\to(x-3,y+7) \end{gathered}`