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, <em>a</em>. In quadratic fucntions, if a < 0, then it means that it is a downward-facing parabola. The value of <em>a </em>makes the parent function <em>wider</em> or <em>narrower</em>.
Also, the parabola is shifted 1 unit to the left, as defined by <em>h </em>= -1, and 3 units downward, defined by<em> </em><em>k </em>= -3.
I'm not sure if there are other graphs as options. Since <u>neither</u> 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.