Question

The graph of Fx), shown below, resembles the graph of G(x) = x, but it has
been changed somewhat. Which of the following could be the equation of
Fx)?
5
GO) = x2
5
FOO = ?
+
O A. F(x) = -x2 - 4
O B. FX) = x2 - 4
O C. Fx) = -(x - 4)2
O D. Fx) = -(x+4)2

Answer 1

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

A. F(x) = -x² - 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 function g(x) = x² was reflected over the x-axis and shifted 4 units down, hence f(x) is given by:

A. F(x) = -x² - 4.

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

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