Question

What is the vertex form of `y=3x^2+ 7x + 2`?

Answer 1

`y = 3(x + 7/6) + 25/12`

Explanation:

x-coordinate of vertex:
x = -b/(2a) = -7/6
y-coordinate of vertex:
`y(-7/6) = (3(49))/36 + (7(-7))/6 + 2 = 147/36 - 49/6 + 2 =`
`= 147/36 - 294/36 + 72/36 = 75/36 = 25/12`
Vertex form of y.
`y = 3(x + 7/6) + 25/12`