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The steps in writing f(x) = 18x + 3x2 in vertex form are shown, but a value is missing in the last step. Write the function in standard form. f(x) = 3x2 + 18x Factor a out of the first two terms. f(x) = 3(x2 + 6x) Form a perfect square trinomial. f(x) = 3(x2 + 6x + 9) – 3(9) Write the trinomial as a binomial squared. f(x) = 3(x + ______)2 – 27 What is the missing value in the last step?

Respuesta :

meerkat18
The missing value is 3. 
The standard form of the equation will be f(x) = 3(x+3)² - 27.

Perfect square trinomial should have the form 
a²+2ab+b²
3 is solved by extracting the square root of 9. You can also look at it by dividing the middle term 6 by 2. 

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