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 ( , ? ) 5 y -5 0 5 c (-3, -2)

Explanation:

Step1: Analyze the transformation (assuming reflection over y - axis)

For a point \((x,y)\) reflected over the y - axis, the transformation rule is \((x,y)\to(-x,y)\). But wait, in our case, the x - coordinate of \( C' \) is positive and y - coordinate is negative. The original point \( C(-3,-2) \). If we consider reflection over the y - axis, the x - coordinate changes sign. So for \( C(-3,-2) \), reflecting over the y - axis gives \( (3,-2) \).

Step2: Verify the coordinates

The original point \( C(-3,-2) \). After reflection over the y - axis (since the x - coordinate of \( C' \) is positive and y - coordinate is negative as given), we use the reflection rule over y - axis: \((x,y)\to(-x,y)\). Substituting \( x=-3 \) and \( y = - 2 \), we get \( -x=3 \) and \( y=-2 \). So the coordinates of \( C' \) are \( (3,-2) \).

Answer:

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