Question

Complete the square to rewrite y=x^2+4x+1 in vertex form

Answer 1

Answer: y = (x + 2)² - 3

Explanation:

y = x² + 4x + 1

-1 -1

y - 1 = x² + 4x

y - 1 + ____ = x² + 4x + ____

↑ ↓ ↑

`(4)/(2) = (2)^(2)`

y - 1 + 4 = x² + 4x + 4

y + 3 = (x + 2)²

-3 -3

y = (x + 2)² - 3