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) (-8,8) (8,6) (6,-8)

Explanation:

Step1: Recall the reflection rule

The rule for reflection across the \(y -\)axis is \((x,y)\to(-x,y)\).

Step2: Determine the coordinates of \(A'\)

From the graph, assume the coordinates of \(A'\) (after reflection) is \((8,8)\) (by observing the position on the grid).

Step3: Apply the reflection rule to find the pre - image

Let the pre - image be \((x,y)\). Using the rule \((x,y)\to(-x,y)\), if \(-x = 8\), then \(x=-8\) and \(y = 8\). So the pre - image is \((-8,8)\).

Answer:

B. \((-8,8)\)