That's related to the fact that, for example, x squared is the same as (-x) squared. Note that any equation of the form "x squared + bx + c = 0", with constants a, b, and c can be rewritten as "(x - d) squared + f = 0", for possibly different constants d and f.
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It is a turning point. It lies on the axis of symmetry.
Yes and this will happen when the discriminant of a quadratic equation is less than zero meaning it has no real roots.
Yes, they will.
It is x = +/- 2 depending on whether the second term in the equation is -12x or +12x.
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