Question

Consider the function g(x) = sqrt(x + 4) - 6 which function has the same y-intercept as this function?

Answer 1

A on deg

Explanation:

Answer 2

a)

`f(x) = (4)/(x-8) - 3.5`

Explanation:

The y intercept of g(x) is the value of g when x = 0.

In this problem

`g(x) = √(x+4) - 6`

The y-intercept is

`g(0) = √(0+4) = √(4) - 6 = 2 - 6 = -4`

a)

`f(x) = (4)/(x-8) - 3.5`

The y-intercept is:

`f(0) = (4)/(0-8) - 3.5 = -0.5 - 3.5 = -4`

This is the correct answer

b)

`f(x) = -(4)/(x) - 1`

The y-intercept is

`f(0) = -(4)/(0) - 1`

This is an asymptote

c)

`f(x) = 2|x+2|`

The y-intercept is

`f(0) = 2|0+2| = 4`

d)

`f(x) = |x - 4|`

The y-intercept is

[tex]f(0) = |0-4| = |-4| = 4.