Question

determine the domain on which the following function is decreasing.
answer attempt 1 out of 2

Explanation:

Step1: Identify the vertex of the parabola

The graph is a parabola opening upwards. The vertex (minimum point) is at \( x = -2 \) (by observing the graph, the lowest point horizontally is at \( x = -2 \)).

Step2: Determine the decreasing interval

For a parabola opening upwards, the function decreases to the left of the vertex and increases to the right. So the function is decreasing when \( x < -2 \), or in interval notation, \( (-\infty, -2) \).

Answer:

\((-\infty, -2)\)