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How does the graph of f(x) = (x - 9)4 - 3 compare to the parent function g(x) = x4?
2

Sagot :

Jeongukkie77idn

Answer:

The graph is shifted right by 9 units and down by 3 units.

Step-by-step explanation:

I'm not fully sure this is correct so please check in with someone else!

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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