write your answer in the form a|x - h| + k, where a, h, and k are integers or simplified fractions. g(x) =
write your answer in the form a|x - h| + k, where a, h, and k are integers or simplified fractions. g(x) =
Answer
Explanation:
Step1: Identify vertex
The vertex of the absolute - value function is at the point ((h,k)). From the graph, the vertex is ((0,2)), so (h = 0) and (k=2).
Step2: Find the slope (a)
Take a point on the right - hand side of the vertex, say ((2,0)). The general form of an absolute - value function is (y=a|x - h|+k). Substitute (x = 2), (y = 0), (h = 0), and (k = 2) into the equation: [0=a|2 - 0|+2] [0 = 2a+2] [2a=-2] [a=-1]
Answer:
(-1|x - 0|+2=-|x| + 2)