Let g(x) be the reflection of f(x)=x^2+5 What is the function rule for g(x)?

Question

I know the first part would be-x^2 but not sure if the 2nd part is a plus or minus.

Answer 1

If you want to reflect the whole graph across the x-axis, that would be

-(x^2+5) = -x^2-5

Make a visit to wolframalpha.com and type in your functions. It will show the graph. Make a change a refresh, and you can see the new graph.

You can do more than one at a time by separating the equations with commas:

http://www.wolframalpha.com/input/?i=plot+y%3Dx%5E2%2B5,+y%3D+-x%5E2%2B5,+y%3D-(x%5E2%2B5)