Question

graph the image of ( f(2,4) ) after a reflection over the ( x )-axis.

Explanation:

Step1: Recall the reflection rule

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

Step2: Apply the rule to the point \(F(2,4)\)

For the point \(F(2,4)\) with \(x = 2\) and \(y=4\), using the rule \((x,y)\to(x, - y)\), we get \(x = 2\) and \(-y=-4\). So the image of the point \(F(2,4)\) after reflection over the \(x\) - axis is \((2,-4)\).

Answer:

The image of the point \(F(2,4)\) after reflection over the \(x\) - axis is \((2,-4)\).