Question

What is the vertex form of `y= 2x^2 -3x + 12`?

Answer 1

y = 2(x - 3/4)^2 + 87/8

Explanation:

x-coordinate of vertex
`x = -b/(2a) = 3/4`
y-coordinate of vertex:
`y(3/4) = 2(9/16) - 3(3/4) + 12 = 9/8 - 9/4 + 12 = 87/8`
Vertex `(3/4, 87/8)`
Vertex form of y:
`y = 2(x - 3/4)^2 + 87/8`