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 +.

Question

Mathematics

Blaine Rodgers

4 August, 21:54

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 +.

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Answers (1)

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Emerson Hale · 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