Question

determine the domain on which the following function is decreasing.

Explanation:

Step1: Analyze the graph

A function is decreasing when, as \(x\) increases, \(y\) decreases.

Step2: Identify the interval

Looking at the graph, after the vertex (the highest point of the parabola), as \(x\) increases, \(y\) decreases. The vertex of the parabola is at \(x = - 4\).

Answer:

The function is decreasing on the interval \((-4,\infty)\)