Question

the point c(3, -3) is reflected over the y-axis. what are the coordinates of the resulting point, c? c(\boxed{ }, \boxed{ })

Explanation:

Step1: Recall the reflection rule over 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 point \(C(3,-3)\)

For point \(C(3,-3)\), here \(x = 3\) and \(y=-3\). Using the rule \((x,y)\to(-x,y)\), we substitute \(x = 3\) into \(-x\). So \(-x=-3\) and \(y\) remains \(-3\).

Answer:

\((-3,-3)\)