Final answer:
The correct description for the equation y=-(x+3)^2 - 4 is 'D. Left 3, Down 4, Open Down Parabola,' because the negative coefficient before the squared term indicates the parabola opens downward, the (x+3) shifts it left by 3, and the -4 shifts it down by 4.
Step-by-step explanation:
To match the equation y=-(x+3)^2 - 4 to its correct description, we need to analyze the structure of the equation. This equation represents a parabola because it is in the form of a quadratic equation, which typically has the general form of y = ax^2 + bx + c. The '^2' indicates that the graph will be a parabola.
The negative coefficient in front of the (x+3)^2 term indicates that the parabola opens downward. Additionally, the (x+3) portion means that the parabola is shifted left by 3 units from the origin, because the effect of (x+3) is to move the vertex to the left if inside the brackets is positive. Finally, the -4 at the end of the equation tells us that the parabola is shifted down 4 units. Therefore, the correct description that matches the equation is 'D. Left 3, Down 4, Open Down Parabola'.