How does the graph of g(x) = −(x − 2)4 compare to the parent function of f(x) = x4? g(x) is shifted 2 units to the right and reflected over the x-axis.
g(x) is shifted 2 units to the left and reflected over the x-axis.
g(x) is shifted 2 units to the right and 1 unit up.
g(x) is shifted 2 units to the right and 1 unit down.

Given:

To find:

How does the graph of g(x) compare to the parent function of f(x)?

Solution:

The translation is defined as

               .... (1)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.

If k<0, then graph of f(x) reflected over x-axis.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

We have,

So,

   ...(2)

From (i) and (ii), we get

, it means g(x) reflected over the x-axis.

, it means g(x) shifted 2 units to the right .

Therefore, the correct option is A.

answer: the anser is 3

step-by-step explanation:

c- 2o is equal to 9

you forgot the options, but i found them anyways, the correct answer is "john wilson believes that words and actions based on the intellect are superior to those based on emotions".

john wilson is depicted as an extremely intelligent man. the point of the excerpt is to make a sort of distinction between emotional and rational intelligence. he happens to have both attributes, but he clearly favors his intellectual gifts. at the same time, because of his religious background, he's a little bit conflicted with this and it makes him ashamed.

hope this !