Question

figure qrst is graphed on a coordinate plane. determine the coordinates of the image qrst after the figure is reflected across the y-axis. use the coordinate plane if it helps with your thinking. pre-image coordinates image coordinates q (3, -15) (-3, -15) r (-6, 12) s (0, 9) (0, 9) t (-4, -3) (4, -3)

Explanation:

Step1: Recall reflection over y-axis rule

When a point \((x,y)\) is reflected across the \(y\)-axis, the new coordinates are \((-x,y)\).

Step2: Apply rule to point R

For point \(R(-6,12)\), \(x = - 6\), \(y=12\). After reflection, \(x\) - coordinate becomes \(-(-6)=6\), \(y\) - coordinate remains \(12\). So the image of \(R\) is \((6,12)\).

Answer:

The coordinates of \(R'\) are \((6, 12)\)