Question

1. draw the image when $prq$ is translated by the rule $(x,y)\to(x + 5,y - 3)$

what is the coordinate for $r$?______

Explanation:

Step1: Determine the original coordinates of point R

From the graph, the coordinates of point R are \((-6,-2)\).

Step2: Apply the translation rule \((x,y)\to(x + 5,y-3)\)

For the \(x\) - coordinate: \(x=-6\), after translation \(x'=-6 + 5=-1\).
For the \(y\) - coordinate: \(y=-2\), after translation \(y'=-2-3=-5\).

Answer:

\((-1,-5)\)