Question

f21 A translation maps P(x,y) onto P'(x+3,y – 2).Find the coordinates of Q, whose image under thesame transformation is Q'(6,2).Because

Answer 1

Let (x,y) be the coordinates of point Q, then:

`(x+3,y-2)=(6,2)\text{.}`

Therefore:

`\begin{gathered} x+3=6\text{ and y-2=2,} \\ x+3-3=6-3\text{ and y-2+2=2+2,} \\ x=3\text{ and y=4.} \end{gathered}`

Answer: Q(3,4).