Write f(x) = 2x2 – 44x + 185 in vertex form.

To write f(x) = 2x2 – 44x + 185, factor out
from the first two terms.

Next, form a perfect square trinomial keeping the value of the function equivalent:

f(x) = 2(x2 – 22x + 121) + 185 – 242

The function written in vertex form is f(x) =
(x –
)2 +
.