Question

1. consider the graph of the absolute value function that opens downward and has a vertex of (-3, 5). choose the correct answer from each drop-down menu to complete the statement. the graph of the function has a maximum value of choose the correct answer -3 5 8 -8 clear all

Explanation:

Step1: Recall Absolute Value Function Vertex

The vertex form of an absolute value function is \( y = a|x - h| + k \), where \((h, k)\) is the vertex. For a downward - opening function (\(a<0\)), the vertex is the maximum point.

Step2: Determine the Maximum Value

Given the vertex \((-3, 5)\), the \(y\) - coordinate of the vertex gives the maximum value of the function (since the function opens downward, the vertex is the highest point on the graph). So the maximum value is \(5\).

Answer:

5