what is the vertex of the graph of $g(x)=|x - 8|+6$?\n(6, 8)\n(8, 6)\n(6, -8)\n(-8, 6)

what is the vertex of the graph of $g(x)=|x - 8|+6$?\n(6, 8)\n(8, 6)\n(6, -8)\n(-8, 6)

what is the vertex of the graph of $g(x)=|x - 8|+6$?\n(6, 8)\n(8, 6)\n(6, -8)\n(-8, 6)

Answer

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: Identify (h) and (k) in the given function

For the function (g(x)=|x - 8|+6), we have (h = 8) and (k = 6) by comparing with (y=a|x - h|+k) (here (a = 1)).

Answer:

B. ((8,6))