Question

write the coordinates of the vertices after a reflection over the y - axis.

Explanation:

Step1: Find original coordinates

From the graph, \(P(-10,3)\), \(Q(-3,3)\), \(R(-10,9)\).

Step2: Apply reflection rule

The rule for reflection over the \(y\)-axis is \((x,y)\to(-x,y)\).
For \(P(-10,3)\): \(x = - 10\), after reflection \(x'=10\), so \(P'(10,3)\).
For \(Q(-3,3)\): \(x=-3\), after reflection \(x' = 3\), so \(Q'(3,3)\).
For \(R(-10,9)\): \(x=-10\), after reflection \(x'=10\), so \(R'(10,9)\).

Answer:

\(P'(10,3)\), \(Q'(3,3)\), \(R'(10,9)\)