# Shortcut: Vertex formula

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Examples

**Applying the "vertex formula" to find the vertex**

Find the vertex for the quadratic function $y = 2{x^2} - 12x + 10$**Converting general form into vertex form by applying the vertex formula**

Convert each quadratic function from general form to vertex form by using the vertex formula.**Deriving the Vertex Formula**

Derive the vertex formula by completing the square:

$y=ax^2+bx+c$

:

:

$(y+\frac{(b^2-4ac)}{4a})=a(x+\frac{b}{2a})$

$\therefore$ vertex: $[\frac{-b}{2a} ,\frac{-(b^2-4ac)}{4a} ]$