Question

How does the graph of f(x) = (x - 9)^4 - 3 compare to the parent function g(x) = x^4?

Answer 1

We must compare the graph of f(x) and g(x), given by:

$\begin{gathered} f(x)=(x-9)^4-3, \\ g(x)=x^4. \end{gathered}$

Plotting the functions, we get the following graphs:

Answer

Comparing both graphs, we see that the curve of function f(x) is the curve of g(x) translated:

• 3 units down,

,

• 9 units to the right.