How to write this equation in vertex form: $y=4x^2+7x$ ?

Question

2835 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-06-22T17:25:39

We complete the square:

$y = 4(x^2 + 7/4 x) = 4(x^2+ 7/4 x + 7^2/8^2) - 4(7^2/8^2)$

$y = 4 (x - -7/8)^2 - 49/16$

How to write this equation in vertex form: y=4x^2+7xy=4x^2+7x?