Question

graph the image of f(-1, 9) 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 point \(F(-1,9)\)

For the point \(F(-1,9)\), where \(x = - 1\) and \(y=9\). Using the reflection rule over the \(y\) - axis, we substitute \(x=-1\) into \(-x\). So, \(-x=-(-1) = 1\) and \(y\) remains \(9\). So the image of \(F(-1,9)\) after reflection over the \(y\) - axis is \((1,9)\). To graph this point, we move 1 unit to the right on the \(x\) - axis and 9 units up on the \(y\) - axis.

Answer:

The image of \(F(-1,9)\) after reflection over the \(y\) - axis is the point \((1,9)\). When graphing, plot the point with \(x = 1\) and \(y=9\).