Which function represents the graph of f(x)=|x+2| after it is translated 4 units to the right? a. g(x)=|x+6| b. g(x)=|x+2|−4 c. g(x)=|x+2|+4 d. g(x)=|x−2|

Step-by-step explanation:

The vertex form of an absolute function is

           .... (1)

where, (h,k) is vertex.

The given function is

The vertex of the function is (-2,0).

It is given that graph of f(x) is translated 4 units to the right. So, the vertex of the function after translation is (2,0).

Substitute h=2 and k=0 in function (1).

Therefore, the required function is .

2

answer: the answer is one of

step-by-step explanation:   we are given to write a proper fraction where the whole is divided into an even number of equal parts less than ten, and an odd number of those parts exist.

an even number less than 10 may be one of 2, 4, 6 or 8. so, the whole may be one of these four evens.

now, an odd number of these parts must exist, so the numerator must be an odd number, one of 1, 3, 5 or 7. it cannot be 9 because then the fraction will become improper.

thus, our fraction may be one of the following