# How do I use the vertex formula to determine the vertex of the graph of the function and write it in standard form for f(x) = x^2+4x+6?

Vertex form: $f \left(x\right) = a {\left(x - \frac{b}{2} a\right)}^{2} + f \left(- \frac{b}{2} a\right)$
$\left(- \frac{b}{2} a\right) = - \frac{4}{2} = - 2$
Vertex form:$f \left(x\right) = {\left(x + 2\right)}^{2} + 2$