Question

Consider the function.



Which function has the same y-intercept as this function?



f(x) = 2 |x + 2|
f(x) = |x – 4|

Answer 1

Using it's concept, the function that has the same y-intercept as $g(x) = \sqrt{x + 4} - 6$ is:

$f(x) = \frac{4}{x - 8} - 3.5$

What is the y-intercept of a function f(x)?

The y-intercept is f(0), that is, the value of y when x = 0.

In this problem, the function is:

$g(x) = \sqrt{x + 4} - 6$

The y-intercept is:

$g(0) = \sqrt{0 + 4} - 6 = 2 - 6 = -4$

Researching the problem on the internet, function with the same y-intercept is given by:

$f(x) = \frac{4}{x - 8} - 3.5$

As:

$f(0) = \frac{4}{0 - 8} - 3.5 = -0.5 - 3.5 = -4$

More can be learned about the y-intercept of a function at https://brainly.com/question/24737967

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