The graph of g(x) is shown. The graph of h(x) = g(x + 5) has (blank)
A. the same horizontal asymptote as function g
B. a horizontal asymptote at y = 5
C. a horizontal asymptote at y = 8

and (blank)
A. the same vertical asymptote as function g
B. a vertical asymptote at y = -7
C. a vertical asymptote at y = -5
D. a vertical asymptote at y = 3

The graph of h(x) = g(x + 5) has  

a horizontal asymptote at y = 5

and  

a vertical asymptote at x = -7

.

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|

1) 2/5

2) zero=0/1

3) zero=0/2

4) -4/5

5) undefined=3/0