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 i quadrant ii quadrant iii quadrant iv 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. So the coordinates of \(C'\) are \((3,-2)\).

Step2: Determine the quadrant

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 for \(C'(3,-2)\), \(x = 3>0\) and \(y=-2<0\)

Answer:

Quadrant IV