Answer:
Neither of the graphs shown.
Step-by-step explanation:
Given the quadratic equation, y = - (x + 1)² - 3, where a = -1, and the vertex is the minimum value that occurs at point (-1, -3). It is easier to tell which graph corresponds to the given equation due to the coefficient, a. In quadratic fucntions, if a < 0, then it means that it is a downward-facing parabola. The value of a makes the parent function wider or narrower.
Also, the parabola is shifted 1 unit to the left, as defined by h = -1, and 3 units downward, defined by k = -3.
I'm not sure if there are other graphs as options. Since neither one of the graphs shown applies to the given quadratic equation, I'm including a screenshot of the correct graph for your reference, where it shows where the vertex is located, along with the y-intercept, (0, -4) -- just in case. Hopefully this helps.
