Question

r is the image of the point r after a reflection.
r(-3,6)→r(3,6)
over which axis was point r reflected?
x - axis y - axis

Explanation:

Step1: Recall reflection rules

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

Step2: Apply the rules to the given points

For the point \(R(-3,6)\) and its image \(R'(3,6)\), we have \(x=-3\) changes to \(x = 3\) (\(x\) value is negated) and \(y = 6\) remains the same. This matches the rule \((x,y)\to(-x,y)\) which is reflection over the \(y -\)axis.

Answer:

\(y-\)axis