Question

write the coordinates of the vertices after a reflection over the y-axis.
p(□, □)
q(□, □)
r(□, □)

Explanation:

Step1: Recall the reflection rule

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

Step2: Find the coordinates of \(P\), \(Q\), \(R\)

From the graph, \(P(8, - 2)\), \(Q(8,5)\), \(R(4,-2)\).

Step3: Apply the reflection rule

For \(P(8,-2)\):
Using the rule \((x,y)\to(-x,y)\), we substitute \(x = 8\) and \(y=-2\). So \(P'\) has coordinates \((-8,-2)\).
For \(Q(8,5)\):
Substitute \(x = 8\) and \(y = 5\) into the rule \((x,y)\to(-x,y)\). So \(Q'\) has coordinates \((-8,5)\).
For \(R(4,-2)\):
Substitute \(x = 4\) and \(y=-2\) into the rule \((x,y)\to(-x,y)\). So \(R'\) has coordinates \((-4,-2)\).

Answer:

\(P'(-8,-2)\), \(Q'(-8,5)\), \(R'(-4,-2)\)