Write the formula to find the vertex of the parabola - Maths Q-A

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Standard XII

Mathematics

Intersection of a Line and Finding Roots of a Parabola

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Question

Write the formula to find the vertex of the parabola.

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Solution

Write the formula to obtain the vertex of the parabola.
The standard form of a parabola is,
$y = a x^{2} + b x + c$
The vertex of parabola is intersection point of parabola and its line of symmetry.
The vertex $(x, y)$ of a parabola can be calculated as,
$(x, y) = (\frac{- b}{2 a}, \frac{4 a c - b^{2}}{4 a})$
Thus, formula for the vertex of the Parabola $, (x, y) = (\frac{- b}{2 a}, \frac{4 a c - b^{2}}{4 a})$

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