The graph of f(x) = - 2x ^ 2 is given below. Write the equation of a function g(x) which would shift the graph of f(x) down 5 units.

Answer 1

To shift the graph of the function $f(x)=-2x^2$ down by 5 units, you need to subtract 5 from the original function.

The new function $g(x)$ will be:

$$g(x)=f(x)-5=-2x^2-5$$

Therefore, the equation of the function $g(x)$ that shifts the graph of $f(x)$ down 5 units is:

$$g(x)=-2x^2-5$$