Answer:
The parabola opens downwards because the coefficient is negative
Explanation:
The vertex of a parabola in the form y = a(x - h)^2 + k is located at the point (h, k). Thus, in the given equation y = -2(x + 5)^2 + 7, the vertex is (-5, 7).
The direction of parabola depends totally on the coefficient.
To determine the direction in which the parabola opens, we look at the coefficient of the squared term. In this case, the coefficient of (x + 5)^2 is -2. Since the coefficient is negative, the parabola opens downwards.