What is the vertex form of y=x^2 + 4x + 2?

1 Answer
Alan P.
Nov 16, 2015

y=(x-(-2))^2+(-2)

Explanation:

The general vertex form is
color(white)("XXX")y=a(x-p)+q
with vertex at (p,q)

y=x^2+4x+2

Complete the square:
color(white)("XXX")=x^2+4x+4-2

color(white)("XXX")=(x+2)^2-2

Adjust signs to get vertex form:
color(white)("XXX")=(x-(-2))^2+(-2)
with vertex at (-2,-2)

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