Question

complete the table with the coordinates of the image points e, f, and g, which are the result of a reflection over the line
e (-4,4) e
f (-2,4) f
g (-5,2) g

Explanation:

Step1: Determine the reflection rule

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

Step2: Apply the rule to point \(E\)

For point \(E(-4,4)\), using the rule \((x,y)\to(x, - y)\), we get \(E'(-4,-4)\).

Step3: Apply the rule to point \(F\)

For point \(F(-2,4)\), using the rule \((x,y)\to(x, - y)\), we get \(F'(-2,-4)\).

Step4: Apply the rule to point \(G\)

For point \(G(-5,2)\), using the rule \((x,y)\to(x, - y)\), we get \(G'(-5,-2)\).

Answer:

\(E'(-4,-4)\), \(F'(-2,-4)\), \(G'(-5,-2)\)