Quadratics need help making parabola

The equation of the parabola is , whose real vertex is , not .

Step-by-step explanation:

A parabola is a second order polynomial. By Fundamental Theorem of Algebra we know that a second order polynomial can be formed when three distinct points are known. From statement we have the following information:

, ,

From definition of second order polynomial and the three points described above, we have the following system of linear equations:

(1)

(2)

(3)

The solution of this system is: , , . Hence, the equation of the parabola is . Lastly, we must check if belongs to the function. If we know that , then the value of is:

does not belong to the function, the real point is .

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