Question

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.​

Answer 1

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:

$f(x) = x^4$

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

In this problem, $g(x) = -f(x - 2) = -(x - 2)^4$, 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 https://brainly.com/question/18405655

Answer 2

Answer:

A

Step-by-step explanation: