# How do you write f(x)=-3(x-1)^2+6 into standard form?

Jul 24, 2016

$f \left(x\right) = - 3 {x}^{2} + 6 x + 3$

#### Explanation:

The standard form of a quadratic expression in $x$ is $a {x}^{2} + b x + c$ . Then, to put the function into standard form, we simply expand and gather like terms:

$f \left(x\right) = - 3 {\left(x - 1\right)}^{2} + 6$

$= - 3 \left({x}^{2} - 2 x + 1\right) + 6$

$= - 3 {x}^{2} + 6 x - 3 + 6$

$= - 3 {x}^{2} + 6 x + 3$