Answered

The graph of F(x) shown below resembles the graph of G(x) = x4, but it has
been changed somewhat. Which of the following could be the equation of
F(x)?

The graph of F(x) shown below resembles the graph of G(x) = x4, but it has been changed somewhat. Which of the following could be the equation of F(x)? class=

Answer :

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

#SPJ1

Other Questions