How do I convert Y= x^2 + 3x + 1 into vertex form?

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Answer 1
Answer:

Answer:

y = (x + (3)/(2) )² - (5)/(4)

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square.

Given

y = x² + 3x + 1

add/ subtract ( half the coefficient of the x- term )² to x² + 3x

y = x² + 2((3)/(2) )x + (9)/(4) - (9)/(4) + 1

  = (x + (3)/(2) )² - (5)/(4)


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