Question

which of the graphs shown below represents the base function f(x)=x^2 and the stretched function g(x)=-7/2x^2

Answer 1

f(x) = x^2 is the black parabola in both graphs.
g(x) = - 7/2 x^2 tells you the parabola will be:
  - flipped upside down because the negative on the 7/2
  - skinnier, because of the 7/2.

This will be the second graph.