Question

$\overline { p ^ { prime } q ^ { prime } }$ is a translation of $\overline { p q }$. write the translation rule.
$( x, y ) \mapsto ( x + \square, y + \square )$

Explanation:

Step1: Find the coordinates of \(P\) and \(P'\)

From the graph, \(P(-5,-8)\) and \(P'(8,-3)\).

Step2: Calculate the change in \(x\) - coordinate

The change in \(x\) is \(8-(-5)=8 + 5=13\).

Step3: Calculate the change in \(y\) - coordinate

The change in \(y\) is \(-3-(-8)=-3 + 8 = 5\).

Answer:

\((x,y)\to(x + 13,y+5)\)