# Math Help - Min or Max question

1. ## Min or Max question

Dear Forum
question
if i am trying to Decide whether f(x)=x^2+2x+4 has a minimum or maximum, and find the value.

would it be miniumum of -1 or maximum of -1 , i am getting stuck.

thanks -ac-

2. Originally Posted by AlgebraicallyChallenged
Dear Forum
question
if i am trying to Decide whether f(x)=x^2+2x+4 has a minimum or maximum, and find the value.

would it be miniumum of -1 or maximum of -1 , i am getting stuck.

thanks -ac-
Hi AlgebraicallyChallenged,

$ax^2+bx+c=0$

If a > 0, then you have a minimum value.

If a < 0, then you have a maximum value.

It can be shown that the x-coordinate of the vertex is $-\frac{b}{2a}$. Once you find that, find $f \left(-\frac{b}{2a}\right)$

Your parabola opens upward and has a minimum value of -1. It does not have a maximum.