Question

point q is located at (3, -1) on the coordinate plane. point q is reflected over the y - axis to create point q. what ordered pair describes the location of q? answer attempt 1 out of 2 q (□,□)

Explanation:

Step1: Recall reflection over y - axis rule

The rule for reflecting a point \((x,y)\) over the \(y\) - axis is that the \(x\) - coordinate changes its sign and the \(y\) - coordinate remains the same. Mathematically, if we have a point \((x,y)\), after reflection over the \(y\) - axis, the new point \((x',y')\) is given by \(x'=-x\) and \(y' = y\).

Step2: Apply the rule to point \(Q(3,-1)\)

For point \(Q\) with coordinates \((3,-1)\), here \(x = 3\) and \(y=-1\). When we reflect over the \(y\) - axis, the new \(x\) - coordinate \(x'=-3\) and the \(y\) - coordinate remains \(y'=-1\). So the coordinates of \(Q'\) are \((-3,-1)\).

Answer:

\((-3,-1)\)