Question

Name 3 of the 4 features listed below for the function g(x) = log2 (x+4) - 1 and include a description of how you found those answers using complete sentences.


1) Vertical Asymptote


2) Domain


3) X and Y Intercepts


4) Transformations compared to its parent function f(x) = log2 x

Answer 1

Answer:

Answer is given below

Step-by-step explanation:

Its vertically asymotote. It should reach both the heights stated in the equations.

It intercept at 6log and 7

I don't know 2nd and 4th

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Answer 2

Vertical  Asymptote is $x=-4$

Domain of function is $x>-4$

The x and y intercept of function is $(-2,0)$ and $(0,1)$ respectively

The function is given as,

                 $g(x)=log_{2}(x+4)-1$

• A vertical asymptote is a vertical line that guides the graph of the function but is not part of it.

       Vertical Asymptote of given function is,

                   $x+4=0\\\\x=-4$

• Domain of given function is,

                   $x+4>0\\\\x>-4$

• To find y- intercept, substitute x = 0 in above equation.

             $y=log_{2}4-1\\\\y=2-1=1$

• To find x- intercept substitute y = 0 in above equation.

            $log_{2}(x+4)-1=0\\\\\frac{ln(x+4)}{ln2} =1\\\\x+4=2\\\\x=2-4=-2$

Graph of given function is attached below.

Learn more about the Domain of the function here:

https://brainly.com/question/1369616