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1 answer:

3 0

Using the quadratic equation instead of calculus, you can find the x coordinate of the vertex as it will be the midpoint of the two x coordinates of the zeros...

x=(-3±√-27)/2

x=-1.5±√-6.75

That the second term is imaginary does not matter because we will add or subtract this value from -1.5, thus the midpoint of the zeros, the x coordinate of the vertex is -1.5. And to find the value of y for the vertex we just find the value of y when x=-1.5

y(-1.5)=6.75

Since y>0, the vertex is above the x-axis.

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