How does the graph of g(x) = −(x + 3)^4 compare to the parent function of f(x) = x^4?
a. g(x) is shifted 3 units to the right and 1 unit up.
b. g(x) is shifted 3 units to the right and 1 unit down.
c. g(x) is shifted 3 units to the right and reflected over the x-axis.
d. g(x) is shifted 3 units to the left and reflected over the x-axis.

Option D

g(x) is shifted 3 units to the left and reflected over the x-axis.

Step-by-step explanation:

If we have a function f(x) and make a transformation of the form:

Then it is true that:

If the graph of g(x) is equal to the graph of f(x) displaced h units to the left

If the graph of g(x) is equal to the graph of f(x) displaced h units to the right

Also if we have a function f(x) and perform a transformation of the form:

Then it is true that:

The graph of g(x) is equal to the graph of f(x) reflected on the x axis.

In this case and

So

Then . Therefore the graph of g(x) is equal to the graph of f(x) displaced 3 units to the left and reflected on the x axis

The answer is the option D

answer:

1. 0.04

2. 0.15

step-by-step explanation:

i just finished that assignment for properties of probability distributions.

4 + 5 7/9= 9 7/9

step-by-step explanation: