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Select the correct answer.
The y-Intercept of the parent quartic function, f(x) = 24
is translated 3 units to the right and 1 unit down. Which equation represents this
transformation?
OA. g() = (x – 3)4 - 1
OB. g(t) = (x + 3)4 - 1
OC. g(t) = (x - 1)* + 3
OD. g() = (x + 1)4 + 3

Select the correct answer The yIntercept of the parent quartic function fx 24 is translated 3 units to the right and 1 unit down Which equation represents this class=

Respuesta :

Using translation concepts, it is found that the equation that represents this transformation is given by:

A. [tex]g(x) = (x - 3)^4 - 1[/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.

In this problem, the parent function is given by:

[tex]f(x) = x^4[/tex].

Then:

  • The function is shifted 3 units right, hence x -> x - 3.
  • The function is shifted 1 unit down, hence f(x) -> f(x) - 1.

Hence, the equation that represents the transformation is given by:

[tex]g(x) = (x - 3)^4 - 1[/tex]

Which means that option A is correct.

More can be learned about translation concepts at https://brainly.com/question/4521517

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