How does the graph of g(x) = -(x - 2)4 compare to the parent function of f(x) = x4?

a) g(x) is shifted 2 units to the right and reflected over the x-axis.
b) g(x) is shifted 2 units to the left and reflected over the x-axis.
c) g(x) is shifted 2 units to the right and 1 unit up.
d) g(x) is shifted 2 units to the right and 1 unit down.

Using translation concepts, it is found that the correct option is:

a) g(x) is shifted 2 units to the right and reflected over the x-axis.

The parent function is:

Shifting a function a units to the right is the same as finding f(x - a).

In this problem, , thus, it was shifted 2 units to the right.

Multiplying a function by -1 is the same as reflecting it over the x-axis, which what happens for g. Thus, the correct option is:

a) g(x) is shifted 2 units to the right and reflected over the x-axis.

A similar problem is given at link

$8

step-by-step explanation:

it is pretty much backwards.

you take the 4x2 multiply that, and that is = $8