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The function f(x) = x3 + 4 is transformed to give a new function, g(x). The graph of g(x) [red] shows a horizontal shrink compared to the graph of f(x) [blue]. What is the function g(x)?

A.
g(x) = 2(x^3 + 4)

B.
g(x) = 1/2 (x^3 + 4)

C.
g(x) = 2x^3 + 4

D.
g(x) = 1/2 x^3 + 4

The function fx x3 4 is transformed to give a new function gx The graph of gx red shows a horizontal shrink compared to the graph of fx blue What is the functio class=

Respuesta :

Plato Answer: g(x)=2x^3+4 .... if you graph it you will see it for yourself but the other persons end up getting bigger and to the left of the blue line so I just wanted to let ya´ll know.

Hope I really helped, Have a great day!!!

The function g(x) is g(x) = 2x^3 + 4.

How to find the function?

We can find the function by substituting the values of points that we see in the graph in the given options.

We can find the function as shown below:

Let's take the two points from the graph (0, 4) and (-1, 2).

Now we can substitute each point in the given options.

  • g(x) = 2(x^3 + 4):

When we substitute (0, 4), we get 4 = 2(0 +4)

4 = 8

This is not correct.

  • g(x) = 1/2 (x^3 + 4)

When we substitute (0, 4), we get 4 = 1/2(0 +4)

4 = 2

This is not correct.

  • g(x) = 2x^3 + 4

When we substitute (0, 4), we get 4 = 0 +4

4 = 4

This is correct.

Now susttitue (-1, 2):

2 = 2(-1)³ + 4

2 = -2 +4

2 = 2

  • g(x) = 1/2 x^3 + 4

When we substitute (-1, 2), we get 2 = 1/2(-1)³ + 4

2 = -1/2 + 4

This is not correct.

From this, we have understood that the only function to which the points on the graph are solutions is g(x) = 2x^3 + 4.

Therefore, we have the function to be g(x) = 2x^3 + 4.

Learn more about functions here: https://brainly.com/question/25638609

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