Question

what is the image of $(2,3)$ after a reflection over the $y$-axis?

Explanation:

Step1: Recall the reflection rule over the y - axis

When a point \((x,y)\) is reflected over the \(y\) - axis, the rule is \((x,y)\to(-x,y)\).

Step2: Apply the rule to the given point

For the point \((2,3)\), here \(x = 2\) and \(y=3\). Using the rule \((x,y)\to(-x,y)\), we substitute \(x = 2\) into \(-x\). So \(-x=-2\) and \(y = 3\) remains the same.

Answer:

\((-2,3)\)