The graph of f(x), shown below, has the same shape as the graph of g(x)=x^4-x^2, which contains the point (0,0) which of the following is the equation of f(x)

 Option B

Step-by-step explanation:

We have the function and we know that it contains the point (0,0). That is, it cuts the y axis and y = 0

Then the graph of F(x) is shown in the image and we know that it is a transformation of F(x).

The function F(x) cuts the y axis and y = 4.

For this reason we can conclude that the function F(x) is the function G(x) displaced 4 units upwards.

The transformation that shifts the graph of a function k units upwards is:

Where .

In this case k = 4. Therefore:

The answer is Option B