Question

what do you know about point ( c ) based on the quadrant it will be in?
the ( x )-coordinate of point ( c ) will be
positive
the ( y )-coordinate of point ( c ) will be
negative
list the coordinates of point ( c ).
( c(quad?quad,quad?quad) )

Explanation:

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

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

Step2: Apply the rule to point \(C(-3,-2)\)

For point \(C(-3,-2)\), where \(x = - 3\) and \(y=-2\). Using the reflection rule \((x,y)\to(-x,y)\), we substitute \(x=-3\) into \(-x\). So \(-x=-(-3) = 3\) and \(y\) remains \(-2\).

Answer:

\(C'(3,-2)\)