Question

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 + .

Answer 1

The function is:
f ( x ) = 2 x² - 44 x + 185
f ( x ) = 2 ( x² - 22 x + 121 - 121 ) + 185 =
= 2 ( x² - 22 x + 121 ) - 242 + 185 =
= 2 ( x - 11 )² - 57
Answer:
The vertex is ( 11, - 57 ) and the vertex form is: f ( x ) = 2 ( x - 11 )² - 57

Answer 2

Answer:

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.