Question

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

Answer 1

i think the answer is B

Explanation:

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

(Not by me)