Question

graph the image of q(-4, -8) after a reflection over the y-axis.

Explanation:

Step1: Recall reflection over y - axis rule

The rule for reflecting a point \((x,y)\) over the \(y\) - axis is \((x,y)\to(-x,y)\).

Step2: Apply the rule to point \(Q(-4,-8)\)

For the point \(Q(-4,-8)\), using the reflection rule over the \(y\) - axis, we change the sign of the \(x\) - coordinate. So, if \(x=-4\) and \(y = - 8\), the new \(x\) - coordinate is \(-(-4)=4\) and the \(y\) - coordinate remains \(-8\). So the image of \(Q(-4,-8)\) after reflection over the \(y\) - axis is \(Q'(4,-8)\). To graph this point, we move 4 units to the right of the origin on the \(x\) - axis and 8 units down on the \(y\) - axis.

Answer:

The image of \(Q(-4,-8)\) after reflection over the \(y\) - axis is the point \((4,-8)\) (which should be graphed at the coordinate \((4,-8)\) on the given grid).