Question

How do you write `y = 2x^2 + 20x + 50` in standard form?

Answer 1

`y = 2x^2+20x+50` is already in what many people call standard form, but sometimes the term "standard form" is used to denote vertex form:

`y = a(x-h)^2 + k`

In our case

`y = 2x^2+20x+50 = 2(x+5)^2 = 2(x-(-5))^2 + 0`

in vertex form with `a=2`, `h=-5` and `k=0`.