Respuesta :

aencabo
Considering the function: G(x)= 4-x^4

Graph using selected points:
\Falls to the left and falls to the right:

x              y
-2            -12
-1            3
0             4
1             3
2            -12

Then plot the points given:
See attached picture:

As observed in the provided picture, the graph shows that the function G(x)= 4-x^4 has the same graph in the given problem.
Ver imagen aencabo
If you observe the two graphs, the graph of G(x) is shifted vertically up by 1 unit as compared to F(x).

So the relation between two graphs can be written as:

G(x) = F(x) + 1

Using the value of F(x), we get:

G(x) = 3 - x⁴ + 1

So,

G(x) = 4 - x⁴

Thus, option A gives the correct answer.

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