Answer: Option B
F(x) = x^4 - x^2 + 2
Explanation:
It is given that F(x) has the same shape as the graph of G(x) = x^4-x^2.
Hence, it is clear that the shape of the graph of the function F(x) is not stretched or squished by any factor and is obtained by shifting the function G(x) by some number up or down. Hence, the options are given.
From, the graph, at x = 0, y = 2.
And as mentioned before, G(x) is not multiplied by any number thus, the only option that gives y = 2 for x = 0 are A and B, but clearly,
A is of the form 2 - G(x). Hence, the answer is B.