Lumen OHM Assessment

Write the the function

$f(x) = -4 x^2+24 x + 37$ in the form

$f(x)=a(x-p)^2+q$ by completing the square:

1. We take out the coefficient of

$x^2,$

$a,$ as a factor from the first two terms:

$f(x)=$

$(x^2+$

$x)+ 37$

2. Then we add half of the coefficient of

$x$ squared,

$(b/2)^2$ , inside the bracket and subtract it outside

$a$ times,

$a(b/2)^2$ .

$f(x)=$

$(x^2+$

$x +$

$)+ 37-$

3. Then we factorize the bracket and simplify outside the bracket.

$f(x)=$

$(x+$

$)^2+$

Videos:

Completing the square