Question

Which of following is the graph of y = -(x + 1)2 -3?

Answer 1

The graph of the equation y = -(x + 1)2 -3 is a downward opening parabola with the vertex at (-1, -3).

Step-by-step explanation:

The graph of the equation y = -(x + 1)2 -3 is a downward opening parabola. The coefficient in front of the quadratic term, in this case, -1, determines the direction of the opening. If the coefficient is negative, the parabola opens downward.

Additionally, the vertex of the parabola is (-1, -3) since the equation is in vertex form. The vertex is the highest or lowest point on the graph. Therefore, the graph of the equation y = -(x + 1)2 -3 will be a downward opening parabola with the vertex at (-1, -3).

Answer 2

See below.

Step-by-step explanation:

The graph of the quadratic equation is a parabola or u shaped graph. It has a vertex at (-1,-3) since h=-1 and k=-3 in the vertex form. It is also facing down since the leading coefficient is negative.