Question

if you change the sign of a points y - coordinate, how will the location of the point change? the point will move up and to the right. the point will cross over the x - axis. the point will cross over the y - axis. not enough information is provided.

Explanation:

Step1: Recall coordinate - axis reflection rules

When we have a point \((x,y)\) in the coordinate plane, if we change the sign of the \(y\) - coordinate, the new point is \((x, - y)\).

Step2: Analyze the effect of the transformation

The \(x\) - coordinate remains the same. The \(y\) - coordinate changes its sign. Points \((x,y)\) and \((x, - y)\) are symmetric about the \(x\) - axis. This means the point will cross over the \(x\) - axis.

Answer:

The point will cross over the \(x\) - axis.