Consider the given function f(x) = -3(x+1)² +12. (a) Determine whether the graph of the parabola opens upward or downward. (b)

Question

Consider the given function f(x) = -3(x+1)² +12.
(a) Determine whether the graph of the parabola opens upward or downward.
(b) Identify the vertex.
(c) Determine the x-intercept(s).
(d) Determine the y-intercept(s).
(e) Sketch the function.
(f) Determine the axis of symmetry.
(g) Determine the minimum or maximum value of the function.
(h) Write the domain and range in interval notation.
Write your answers in exact form.

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