Question

determine the domain on which the following function is decreasing. graph of a parabola opening upwards with vertex at (-2, -3) and passing through the origin answer attempt 1 out of 2 input box submit answer keyboard with symbols: φ, or, ∪, ∞, <, >, ≤, ≥, ,, ,), (,, (,), all real numbers

Explanation:

Step1: Identify the vertex

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

Step2: Determine the decreasing interval

For a parabola opening upwards (\( a>0 \)), the function is decreasing to the left of the vertex and increasing to the right of the vertex. So the function decreases when \( x < -2 \), or in interval notation, \( (-\infty, -2) \).

Answer:

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