1. The coefficient of x² is (+1): Therefore the parabola opens up and the absolute Minimum is at the vertex of the parabola.

2. Since the absolute minimum is (-3) at x = -1 use the vertex-form of the parabola:

where a determines the shape of the parabola and (k, h) is the vertex of the parabola.

3. You should come out with:

4. Draw a sketch of the parabola.