The parent function g(x) is sifted to the right by 9 units and then translated down by 3 units to get the function f(x).
What is the translation of a graph?
"A translation of a graph is its rigid movement, vertically or horizontally. "
Given, the parent function is
[tex]g(x) = x^{4}[/tex]
The translated function is
[tex]f(x) = (x - 9)^{4}- 3[/tex]
At first, the graph g(x) is shifted to the right by 9 units.
Therefore, the equation will be
[tex]h(x) = (x-9)^{4}[/tex]
Now, the graph h(x) is translated down by 3 units.
Therefore, the equation will be
[tex]h(x) = (x-9)^{4}-3[/tex]
Learn more about translation of a graph: https://brainly.com/question/12951849
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