Algebra-2

A local minimum occurs when the graph changes from decreasing to increasing.

Let's analyze each of the points based on the behavior of the graph:

1. For the point (-4.5, 2), the graph is increasing before reaching this point and then starts to decrease after reaching it. So, (-4.5, 2) is a local maximum, not a local minimum.

2. For the point (-3, -4), the graph is decreasing before reaching this point and then starts to increase after reaching it. By the definition of a local minimum (a point where the function changes from decreasing to increasing), (-3, -4) is a local minimum.

3. For the point (...