Question

How do you write the quadratic in vertex form given `y=2x^2-10x+5`?

Answer 1

Vertex form`f(x) = (x - b/(2a))^2 + f(-b/(2a))`

`-b/2a = 10/4 = 5/2`
`f(5/4) = 2(25/4) - 10(5/2) + 5 = -15/2`

Vertex form `f(x) = (x - 5/2)^2 - 15/2`