Question

the point c(-5, 2) is reflected over the y-axis. what are the coordinates of the resulting point, c?

Explanation:

Step1: Recall the reflection rule 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

For the point \(C(-5,2)\), here \(x = - 5\) and \(y = 2\). Using the rule \((x,y)\to(-x,y)\), we substitute \(x=-5\) into \(-x\). So \(-x=-(-5) = 5\) and \(y\) remains \(2\).

Answer:

\((5,2)\)