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

Answer 1

To shift the graph of the function \( f(x) = -x^2 \) up by 5 units, you need to add 5 to the function. Thus, the equation of the new function \( g(x) \) would be:

\[ g(x) = -x^2 + 5 \]

This function represents the graph of \( f(x) \) lifted upward by 5 units.