# How do you write f(x)=1/2 (x+2)^2-1 in standard form?

By standard form do you mean $y = a {x}^{2} + b x + c$ form?
$\frac{1}{2} {x}^{2} + 2 x + 1$
$\frac{1}{2} {\left(x + 2\right)}^{2} - 1$=$\frac{1}{2} \left({x}^{2} + 2 x + 2 x + 4\right) - 1$
$\frac{1}{2} {x}^{2} + 2 x + 2 - 1$ = $\frac{1}{2} {x}^{2} + 2 x + 1$