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 +.

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

To write f (x) = 2x2 - 44x + 185, factor out

2

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) =

2

(x -

11

) 2 +

-57

.