Using translation concepts, the equation of F(x) is:
A. [tex]F(x) = \frac{1}{3}x^4 - 2[/tex]
What is a translation?
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The parent function is:
[tex]G(x) = x^4[/tex]
For function F(x), we have that:
- It was shifted down 2 units, hence F(x) = G(x) - 2.
- It was vertically compressed by a factor of 3, hence [tex]F(x) = \frac{1}{3}G(x) - 2[/tex]
Then the equation is:
A. [tex]F(x) = \frac{1}{3}x^4 - 2[/tex]
More can be learned about translation concepts at https://brainly.com/question/28098112
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