Respuesta :

Answer: D. (x-3)^2+4

Step-by-step explanation:

A P E X

Using translation concepts, it is found that the equation of function F(x) is given by:

D. F(x) = (x - 3)² + 4.

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:

G(x) = x².

Then, these following translations happen:

  • Shift up 4 units, hence F(x) = x + 4.
  • Shift right 3 units, hence x -> x - 3.

Thus, the equation of function F(x) is given by:

D. F(x) = (x - 3)² + 4.

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

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