make a function equation for the graph. use the format: y=a|x - h|+k with no spaces. the || are above the…

make a function equation for the graph. use the format: y=a|x - h|+k with no spaces. the || are above the enter button on the qwerty keyboard.

make a function equation for the graph. use the format: y=a|x - h|+k with no spaces. the || are above the enter button on the qwerty keyboard.

Answer

Explanation:

Step1: Identify vertex

The vertex of the absolute - value function (y = a|x - h|+k) is ((h,k)). From the graph, the vertex is ((1, - 2)), so (h = 1) and (k=-2).

Step2: Find the value of (a)

We can use another point on the graph, say ((0,-1)). Substitute (x = 0), (y=-1), (h = 1), and (k=-2) into (y=a|x - h|+k). We get (-1=a|0 - 1|-2). Simplify the equation: (-1=a\times1 - 2), then (a=1).

Answer:

y=1|x - 1|-2