The "zero" or "root" of such a function - or of any other function - is the answer to the question: "What value must the variable 'x' have, to let the function have a value of zero?" Or any other variable, depending how the function is defined.
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it is a vertices's form of a function known as Quadratic
That the function is a quadratic expression.
Yes most of them do equal zero.
A linear function is a line where a quadratic function is a curve. In general, y=mx+b is linear and y=ax^2+bx+c is quadratic.
No. It is a sequence for which the rule is a quadratic expression.