Question

The graph of F(x), shown below, has the same shape as the graph of

Answer 1

Answer:

f(x) = x^4-x^2+ 2

option D

Step-by-step explanation:

From the question, we are told that the graph of g(x) contains the point (0,0)

What the graph of f(x) is showing to us is that it is translated 2 units up the vertical axis to get its starting position

What we are saying in essence is that the graph of f(x) and g(x) are similar, but f(x) was formed as a result of applying some transformation to g(x)

The transformation applied on f(x) is that it was moved 2 units upwards from g(x)

Since the translation is in a positive direction

Since the graph was moved up, it means that we added to the output of the graph

So the equation becomes;

f(x) = x^4-x^2+ 2