Question

determine the domain on which the following function is increasing.

Explanation:

Step1: Analyze the graph

For a parabola (quadratic function graph), if it opens upwards (as this one does), it is decreasing to the left of the vertex and increasing to the right of the vertex.

Step2: Locate the vertex's x - coordinate

By observing the graph, the vertex (the lowest point of the parabola) has an \(x\) - coordinate of \(- 5\).

Answer:

The function is increasing on the interval \((-5,\infty)\)