SOLUTION: Describe how the graph of the function {{{g(x)= -5x^2-2}}} is related to the graph of the function {{{f(x) = 5x^2 + 1}}}.

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Question 968976: Describe how the graph of the function g%28x%29=+-5x%5E2-2 is related to the graph of the function f%28x%29+=+5x%5E2+%2B+1.
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Describe how the graph of the function g%28x%29=+-5x%5E2-2 is related to the graph of the function f%28x%29+=+5x%5E2+%2B+1.
.
I can rewrite g(x) as:
g%28x%29=+-%285x%5E2%2B2%29
which is equivalent to:
g%28x%29=+-%28f%28x%29%29
.
So the graph of g(x) is simply
a reflection of f(x) about the x-axis.