what is the vertex of the graph of f(x) = |x + 5| - 6?\n(-6, -5)\n(-6, 5)\n(-5, -6)\n(5, -6)

Answer:

C. (-5, -6)

Explanation:

Step1: Recall vertex - form of absolute - value function

The general form of an absolute - value function is (y=a|x - h|+k), and its vertex is ((h,k)).

Step2: Rewrite the given function in general form

The given function (f(x)=|x + 5|-6) can be written as (f(x)=1|x-(-5)|+(-6)).

Step3: Identify the vertex

Comparing with (y=a|x - h|+k), we have (h=-5) and (k = - 6). So the vertex is ((-5,-6)).