Question

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

Answer 1

`f(x)=-3x^2+6x+3`

Explanation:

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

`f(x)=-3(x-1)^2+6`

`=-3(x^2-2x+1)+6`

`=-3x^2+6x-3+6`

`=-3x^2+6x+3`