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QUESTION IMAGE

15. p(1, -2) is the image of p after a translation along the vector <-8…

Question

  1. p(1, -2) is the image of p after a translation along the vector <-8, 0>. what are the coordinates of p?

Explanation:

Step1: Recall translation formula

Let coordinates of $P$ be $(x,y)$. If translation vector is $\langle - 8,0
angle$, then $x - 8=1$ and $y+0=-2$.

Step2: Solve for $x$ and $y$

For $x - 8=1$, $x=1 + 8=9$. For $y+0=-2$, $y=-2$.

Answer:

$(9,-2)$