Question

the point g(-1, -6) is reflected over the y-axis. what are the coordinates of the resulting point, g?

Explanation:

Step1: Recall reflection over y - axis rule

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

Step2: Apply the rule to point \(G(-1,-6)\)

For the \(x\) - coordinate of point \(G\), which is \(-1\), we find \(-x\) where \(x = - 1\). So, \(-x=-(-1)=1\). The \(y\) - coordinate remains the same, which is \(-6\).

Answer:

The coordinates of \(G'\) are \((1,-6)\)