the graph shows the function f(x) = |x - h| + k. what is the value of h?\n○ h = -3.5\n○ h = -1.5\n○ h =…
the graph shows the function f(x) = |x - h| + k. what is the value of h?\n○ h = -3.5\n○ h = -1.5\n○ h = 1.5\n○ h = 3.5
Answer
Explanation:
Step1: Recall vertex - form property
The vertex of the absolute - value function (y = |x - h|+k) is at the point ((h,k)).
Step2: Identify the vertex from the graph
From the graph, the vertex of the function (y = |x - h|+k) is at the point ((- 1.5,-3.5)).
Step3: Determine the value of (h)
Since the (x) - coordinate of the vertex is (h), when the vertex is ((-1.5,-3.5)), then (h=-1.5).
Answer:
(h = - 1.5)