Question

graph the image of s(-6, 1) after a translation 2 units right and 9 units down.

Explanation:

Step1: Recall translation rules

For a point \((x,y)\), translating \(a\) units right changes \(x\) to \(x + a\), and translating \(b\) units down changes \(y\) to \(y - b\).

Step2: Apply to point \(S(-6,1)\)

Right 2 units: \(x=-6 + 2=-4\)
Down 9 units: \(y = 1-9=-8\)
So the image is \((-4,-8)\). To graph, find the point with \(x=-4\) and \(y = -8\) on the coordinate plane.

Answer:

The image of \(S(-6,1)\) after translation is the point \((-4,-8)\), which can be graphed at the location with \(x\)-coordinate \(-4\) and \(y\)-coordinate \(-8\) on the given grid.