Question

Find the image of the given point under the given translation P(3,-5) T(x,y) = (x+4, y-3)P' = (?, ?)

Answer 1

Given that translation of a given point is expressed as

`T(x,y)=(x+4,\text{ y-3\rparen}`

For the point P(3, -5), this implies that

`\begin{gathered} x=3 \\ y=-5 \end{gathered}`

Thus, the image of the point is evaluated to be

`\begin{gathered} P^(\prime)(x,y)=T(3+4,\text{ -5-3\rparen\rparen} \\ \Rightarrow P^(\prime)(7,\text{ -8\rparen} \end{gathered}`

Hence, the image of the point P is

`P^(\prime)(7,-8)`