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

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Answer 1 · 2015-05-15T22:23:08

$y = 2x^2+20x+50$ 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 $k=0$ .

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