Question

find the coordinates or point c after point c is reilected across the y - axis.
in which quadrant will point c be located?
quadrant iv
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?
positive
negative
c(-3,-2)

Explanation:

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

When a point \((x,y)\) is reflected across the \(y\) - axis, the new point is \((-x,y)\).
For point \(C(-3,-2)\), after reflection across the \(y\) - axis, the \(x\) - coordinate changes sign and the \(y\) - coordinate remains the same. So \(C'=(3,-2)\).

Step2: Determine the quadrant of \(C'\)

Quadrant I: \((+,+)\), Quadrant II: \((-,+)\), Quadrant III: \((-,-)\), Quadrant IV: \((+,-)\).
Since \(C'=(3,-2)\) has a positive \(x\) - coordinate and a negative \(y\) - coordinate, it is in Quadrant IV.

Step3: Analyze the coordinates based on the quadrant

In Quadrant IV, \(x>0\) and \(y < 0\).

Answer:

The \(y\) - coordinate of point \(C'\) will be negative.