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if p = (-3,4), find: r_{y - axis}(p) (?, )

Question

if p = (-3,4), find: r_{y - axis}(p) (?, )

Explanation:

Step1: Recall the rule for reflection over the y - axis

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

Step2: Apply the rule to the given point \(P(-3,4)\)

Here \(x=-3\) and \(y = 4\). Using the rule \((x,y)\to(-x,y)\), we substitute \(x=-3\) into \(-x\). So \(-x=-(-3)=3\) and \(y\) remains \(4\).

Answer:

\((3,4)\)