what is the vertex of f(x) = |x + 8| - 3?\n(-8, -3)\n(-8, 3)\n(8, -3)\n(8, 3)

Answer:

A. (-8, -3)

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

The given function (f(x)=|x + 8|-3) can be rewritten as (f(x)=1|x-(-8)|+(-3)).

Step3: Identify the vertex

Comparing with (y=a|x - h|+k), we have (h=-8) and (k = - 3). So the vertex is ((-8,-3)).