what is the pre - image of vertex a if the image shown on the graph was created by a reflection across the y…

Explanation:

Step1: Recall the reflection rule across the y - axis

When a point ((x,y)) is reflected across the (y) - axis, the transformation rule is ((x,y)\to(-x,y)). Let the pre - image of (A') be ((x,y)) and the image (A') has coordinates ((6,8)) (from the graph, assume (A') is at ((6,8)) as per the grid). Using the formula (x'=-x) and (y' = y) (where ((x',y')) is the image). If (x'=6) and (y' = 8), then solving for (x) (since (x'=-x)), we have (6=-x\Rightarrow x=-6) and (y = 8).

Answer:

((-6,8))