Question

graph the image of f(-1, 9) after a reflection over the y-axis.

Explanation:

Step1: Recall the reflection rule

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 \(F(- 1,9)\), here \(x=-1\) and \(y = 9\). Using the rule \((x,y)\to(-x,y)\), we substitute \(x=-1\) into \(-x\). So \(-x=-(-1)=1\) and \(y\) remains \(9\).

Answer:

The image of \(F(-1,9)\) after reflection over the \(y\)-axis is the point \((1,9)\).