Sketch the graph of the following functions: a) f(x) = 12 - x - x^2 b) g(x) = (x - 3) / (x^2 - 1)
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For (a) the graph is a parabola. So the function is $\displaystyle y = -x^2 - x +12 $. The vertex is $\displaystyle -\frac{b}{2a} = -\frac{1}{2} $. Here The second one is below.
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