Question

write the coordinates of the vertices after a reflection over the y-axis.

Explanation:

Step1: Find original coordinates of K

From the graph, point K is at \((-9, 5)\) (since it's 9 units left of y - axis (x=-9) and 5 units up (y = 5)).

Step2: Apply reflection over y - axis rule

The rule for reflection over the y - axis is \((x,y)\to(-x,y)\). For point K\((-9,5)\), substituting \(x=-9\) into \(-x\), we get \(-(-9)=9\) and \(y\) remains 5. So the coordinates of \(K'\) are \((9,5)\).

Answer:

\(K'(9, 5)\)