Question

find the coordinates of point c after point c is reflected 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
negative
c (-3,-2)

Explanation:

Step1: Determine 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 \(C'\)

In the coordinate plane:

• Quadrant I: \(x>0,y > 0\)
• Quadrant II: \(x<0,y>0\)
• Quadrant III: \(x < 0,y<0\)
• Quadrant IV: \(x>0,y<0\)

Since \(C'=(3,-2)\) (where \(x = 3>0\) and \(y=-2<0\)), point \(C'\) is in Quadrant IV.

Step3: Analyze the \(x\) - coordinate based on the quadrant

In Quadrant IV, the \(x\) - coordinate of a point is positive.

Answer:

• The \(x\) - coordinate of point \(C'\) will be positive.