Question

graph the image of t(-4, -7) 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 \(T(-4, -7)\)

For the point \(T(-4, -7)\), \(x = - 4\) and \(y=-7\). Using the reflection rule, the new \(x\)-coordinate is \(-(-4)=4\) and the \(y\)-coordinate remains \(-7\). So the image of \(T\) after reflection over the \(y\)-axis is \((4, -7)\). To graph this, we find the point with \(x = 4\) and \(y=-7\) on the coordinate plane.

Answer:

The image of \(T(-4, -7)\) after reflection over the \(y\)-axis is the point \((4, -7)\), which should be graphed at the location where \(x = 4\) and \(y=-7\) on the given coordinate grid.