Consider the functions f(x) = 6x - 5 and g(x) = 6x + 3. Which statement compares the relationship between the graphs of the two functions?
A) The graph of g(x) is the same as the graph of f(x) translated down 2 units.
B) The graph of g(x) is the same as the graph of f(x) translated up 8 units.
C) The graph of g(x) is the same as the graph of f(x) translated up 2 units.
D) The graph of g(x) is the same as the graph of f(x) translated down 8 units.

D

Step-by-step explanation:

since we have -5 and 3, in order to translate f(g) into f(x), we subtract 8 from f(g)

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

2

step-by-step explanation: