Question

Using the graph of f(x)=x^2 as a guide, describe the transformations, and then graph the function g(x)=-8x^2

Answer 1

Well, do you know how f(x) = x^2 looks like?

Answer 2

Do me a favour, if you don't know make a table of values, put random numbers and see what shape you get. fill in the rest then graph it. Once you do that we'll continue but in general for your g(x)=-8x^2 graph the negative sign represents a reflection, meaning the graph will flip, and the 8x^2, in other terms if you have a>1 f(x) = ax^2 will have a vertical scaling (stretch) in your case by a factor of 8.