write the function whose graph is the graph is the graph of y=(x+4)^2, but is reflected about the y- axis y=____
Reflection about the y-axis is given by:
(x,y)-> r(-x,y)
To obtain the reflection of a graph about the y-axis, you need to replace x with -x in the equation. In this case, the original equation is y = (x+4)^2.
To reflect this graph about the y-axis, we replace x with -x in the equation:
y = (-x+4)^2
Simplifying this equation, we get:
y = (4-x)^2
Therefore, the equation of the function whose graph is the reflection of y = (x+4)^2 about the y-axis is y = (4-x)^2.