What is the relationship between roots and coefficients for a monic quadratic x2+px+q?
QUESTION
What is the axis of symmetry of y=ax2+bx+c?
QUESTION
What is the vertex of y=ax2+bx+c written in terms of a,b,c?
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ANSWER
(−2ab,4a4ac−b2). The vertex coordinates are found by using the axis of symmetry for x and substituting to find y, yielding the given expressions in terms of a, b, c.