Question

when reflecting over the y - axis...
change the sign of the x - values.
keep the x - value the same, and maintain the same number of units away from the line for the y - value.
change the sign of the y - values.
keep the y - value the same, and maintain the same number of units away from the line for the x - value.

Explanation:

Step1: Recall reflection over y - axis rule

When reflecting a point \((x,y)\) over the \(y\) - axis, the formula is \((x,y)\to(-x,y)\). This means the \(y\) - value remains the same (\(y\) - coordinate is unchanged), and the \(x\) - value changes its sign. Also, the distance of the point from the \(y\) - axis (measured by the absolute value of \(x\)) is maintained.

Answer:

Change the sign of the \(x\) - values. Keep the \(y\) - value the same, and maintain the same number of units away from the line for the \(x\) - value.