Question

What is the vertex form of `y=x^2 - 9x + 2`?

Answer 1

Find vertex form of `y = x^2 - 9x + 2`

Ans: `y = (x - 9/2)^2 - 73/4`

Explanation:

Vertex `(x, y)`.
`x`-coordinate of vertex: `x = (-b/(2a)) = 9/2`
`y`-coordinate of vertex: `y = y(9/2) = (9/2)^2 - 9(9/2) + 2 =`
`= 81/4 - 81/2 + 2 = -81/4 + 2 = -73/4`
Vertex form --> `y = (x - 9/2)^2 - 73/4`