what is the vertex of the graph of f(x) = |x + 3| + 7?\n(3, 7)\n(7, 3)\n(-3, 7)\n(7, -3)
what is the vertex of the graph of f(x) = |x + 3| + 7?\n(3, 7)\n(7, 3)\n(-3, 7)\n(7, -3)
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)). For the function (f(x)=|x + 3|+7), we can rewrite it as (f(x)=1|x-(-3)| + 7).
Step2: Identify the vertex
Comparing (f(x)=|x-(-3)| + 7) with (y=a|x - h|+k), we have (h=-3) and (k = 7). So the vertex of the function (f(x)=|x + 3|+7) is ((-3,7)).
Answer:
((-3,7)) (corresponding to the third option)