Question

write the coordinates of the vertices 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: Find the original coordinates

From the graph: \(Q(-9,-7)\), \(R(-3,-7)\), \(T(-4,-4)\), \(S(1,-4)\)

Step3: Apply the reflection rule

For point \(Q(-9,-7)\): Using \((x,y)\to(x, - y)\), we get \(Q'(-9,7)\)
For point \(R(-3,-7)\): Using \((x,y)\to(x, - y)\), we get \(R'(-3,7)\)
For point \(T(-4,-4)\): Using \((x,y)\to(x, - y)\), we get \(T'(-4,4)\)
For point \(S(1,-4)\): Using \((x,y)\to(x, - y)\), we get \(S'(1,4)\)

Answer:

\(Q'(-9,7)\), \(R'(-3,7)\), \(T'(-4,4)\), \(S'(1,4)\)