# Vertex Form of a Quadratic Equation

Quadratic Function Given Vertex and Point

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## Key Questions

• Vertex Form

$y = a {\left(x - h\right)}^{2} + k$,

where $\left(h , k\right)$ is the vertex.

I hope that this was helpful.

• Since the equation is:

$y = {x}^{2} + b x + c$

the vertex is $V \left(- \frac{b}{2 a} , - \frac{\Delta}{4 a}\right)$,

or, found the ${x}_{v} = - \frac{b}{2 a}$ you can substitue it in the equation of the parabola at the place of $x$, finding the ${y}_{v}$.

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