Answer:
Step-by-step explanation:
Setting f(x) = -(x + 3)(x + 1) = 0 leads to identifying two roots/solutions of this equation: x = -3 and x = -1. The axis of symmetry is a vertical line halfway between these two roots: x = -2. This x = -2 is also the x-coordinate of the vertex. Evaluating f(x) = -(x + 3)(x + 1) at x = -2 gives us the y-coordinate of the vertex: y = -(-2 + 3)(-2 + 1) = -(1)(-1) = 1.
In summary, the vertex is at (-2, 1) and the two x-intercepts are (-3, 0) and (-1, 0). The y-intercept is found by setting x = 0 and finding y:
f(0) = -(0 + 3)(0 + 1) = -3, or (0, -3)
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