Question

The functions f(x) and g(x) are shown on the graph f(x) = X^2 what is g(x) ? A. g(x) = (-x)^2 + 2B. g(x) = -x^2 - 2 C. g(x) = (-x)^2 - 2D. g(x) = x^2 + 2

Answer 1

The graph of the function is f(x) = x^2 lie above the x axis.

The graph of g(x) lie below the y axis and shifted down by 2 units. So equation for the graph of function g(x) is,

$g(x)=-x^2-2$

So option B is correct.