The graph of f(x), shown below, has the same shape as the graph of g(x) = x4, but it is shifted to the right 2 units. what is its equation? f(x) = a. f(x) = (x + 2)4 b. f(x) = (x - 2)4 c. f(x) = x4 - 2 d. f(x) = x4 + 2

F(x) has the same shape as G(x) but is shifted right by 2 units. A horizontal shift towards right can be achieved by subtraction of a number from x. So in order to shift G(x) 2 units to right, we have to subtract 2 from x as shown below:

G(x - 2)

Thus, 
F(x) = G(x-2)

So,


The option B gives the correct answer

First locate the turning point (vertex) of the graph. which is at the coordinates x=5 and y=9 or (5; 9).to determine whether it's a maximum or mininum value, you have to discern whether the vertex's y-value is the highest value or lowest value the graph can reach. since the vertex's y-value, 9 is the highest value the graph can reach, it will be a maximum.another basic way to determine whether the vertex's value is max or min is to see if the graph is smiling or sad. if it's smiling, the turning point/vertex would be a minimum, while a sad parabola would have a maximum y-value at the vertex.