Question

This graph of a function is a translation of y=4/x. What is an equation for the function?

Answer 1

`y=(4)/(x+6) +2`

Explanation:

Answer 2

`y = (4)/(x + 6) + 2 \\`

found by:

as value of x approaches -6 from left, value of y appoaches negative infinity

as value of x approaches -6 from the right, value of y approaches infinity

(undefined solution)

therefore, the value of x = 0 is translated to x = - 6

if x = -6,

(x + 6) = 0

(x + 6) is the value of x in the equation

`y = (4)/(x + 6) + c`

as x increases, the value of 4/x approaches 0

in the graph, it approaches 2 instead

meaning 2 units is added to the value of y,

therefore c = 2.