Question

what is the pre-image of vertex a if the image shown on the graph was created by a reflection across the y-axis?
(-8, -6)
(-6, 8)
(8, 6)
(6, -8)

Explanation:

Step1: Identify coordinates of A'

From the graph, A' has coordinates \((6, 8)\) (assuming each grid square is 1 unit; x=6, y=8).

Step2: Apply reflection over y-axis rule

The rule for reflection over the y - axis is \((x,y)\to(-x,y)\). For point A' \((x = 6,y = 8)\), the pre - image (let's call it A) will have \(x=-6\) and \(y = 8\). So the pre - image of A' is \((-6,8)\).

Answer:

\(\boldsymbol{(-6, 8)}\) (corresponding to the option \((-6, 8)\))