Question

write the coordinates of the vertices after a reflection over the x-axis.
f(
g(
h(

Explanation:

Step1: Find original coordinates

From the graph, \(F(-4,-8)\), \(G(-4,-1)\), \(H(4,-9)\)

Step2: Apply reflection rule over \(x\)-axis

The rule for reflection over the \(x\)-axis is \((x,y)\to(x, -y)\)
For \(F(-4,-8)\):
\(F'(-4,8)\)
For \(G(-4,-1)\):
\(G'(-4,1)\)
For \(H(4,-9)\):
\(H'(4,9)\)

Answer:

\(F'(-4,8)\), \(G'(-4,1)\), \(H'(4,9)\)