Question

The graph of f, of, x, equals, x, cubedf(x)=x
3
is given below. Write the equation of a function g, of, xg(x) which would shift the graph of f, of, xf(x) down 5 units.

Answer 1

To shift the graph of a function \( f(x) \) down by 5 units, we need to subtract 5 from the function.

Since the original function is given as \( f(x) = x^3 \), the new function \( g(x) \) that represents the downward shift will be:

\[
g(x) = f(x) - 5 = x^3 - 5
\]

So, the equation of the function \( g(x) \) is:

\[
g(x) = x^3 - 5
\]