Suppose that f(x)=x^3 and g(x)=-4x^3-5 . Which statement best compares the graph of g(x) with the graph of f(x)?

C.

Multiplying the x^3 term by 4 means you're stretching it vertically, adding the minus sign means you're flipping it about the x-axis, and subtracting 5 means you're moving it down by 5 units.