DATE TEACHER NAME The graph of $y=|x+4|-8$ is reflected across the $y$-axis. What is an equation of the reflected graph? What is the name of the parent function? a system of equations to represent the information. Identif

Step 1 ：The graph of \(y=|x+4|-8\) is reflected across the y-axis.

Step 2 ：To reflect a graph across the y-axis, we replace \(x\) with \(-x\) in the equation.

Step 3 ：So, the equation of the reflected graph is \(y=|-x+4|-8\).

Step 4 ：The parent function of \(y=|x+4|-8\) is \(y=|x|\). This is because the graph of \(y=|x+4|-8\) is a transformation of the graph of \(y=|x|\), specifically, it is the graph of \(y=|x|\) shifted 4 units to the left and 8 units down.

Step 5 ：So, the parent function of the reflected graph \(y=|-x+4|-8\) is also \(y=|x|\).

Step 6 ：\(\boxed{y=|-x+4|-8}\) is the equation of the reflected graph and its parent function is \(\boxed{y=|x|}\).