How do you find the vertex of a parabola in standard form?

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Solution

Explanation:
The standard form of a parabola is $y = a x^{2} + + b x + c,$ where $a \neq 0 .$
The vertex is the minimum or maximum point of a parabola. If $a >),$ then the vertex is the minimum point and the parabola opens upwards. If $a < 0.$ the vertex is the maximum point and the parabola opens downward.
TO find the vertex, you need to find the $x -$ and $y -$ coordinates.
The formula for the axis of symmetry and the x-coordinate of the vertex is:
$x = \frac{- b}{2 a}$
To find the y-coordinate the vertex, substitute the value for $x$ into the equation and solve for $y$
$y = a {(\frac{- b}{2 a})}^{2} + b (\frac{- b}{2 a}) + c$

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