Final answer:
A second and third point on the parabola represented by the equation y = -3(x + 2)² are (-1, -3) and (-3, -3), respectively.
Step-by-step explanation:
The equation given is y = -3(x + 2)², which represents a parabola with the vertex at (-2, 0). To find a second point on the parabola, we can select an x-value near the vertex; for example, x = -1. Substituting x = -1 into the equation gives us y = -3(-1 + 2)² = -3(1)² = -3. Therefore, one point on the parabola is (-1, -3). Similarly, for a third point, we could choose x = -3 which, when substituted, gives y = -3(-3 + 2)² = -3(-1)² = -3. Therefore, another point on the parabola is (-3, -3).