Question

what is the image of $(-1,-6)$ after a reflection over the $y$-axis?

Explanation:

Step1: Recall the reflection rule over the y - axis

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

Step2: Apply the rule to the given point

For the point \((- 1,-6)\), here \(x=-1\) and \(y = - 6\). Using the rule \((x,y)\to(-x,y)\), we substitute \(x=-1\) into \(-x\). So \(-x=-(-1)=1\) and \(y\) remains \(-6\).

Answer:

\((1,-6)\)