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

y = (x + )² -

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( )x + - + 1

  = (x + )² -

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.