Question

what is the image of (2, -1) 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 the point \((2,-1)\)

For the point \((2,-1)\), where \(x = 2\) and \(y=-1\), applying the rule, we get \(x\) - coordinate as \(-2\) and \(y\) - coordinate remains \(-1\). So the image is \((-2,-1)\).

Answer:

\((-2,-1)\)