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Conference rusure::math

Title:Mathematics at DEC
Moderator:RUSURE::EDP
Created:Mon Feb 03 1986
Last Modified:Fri Jun 06 1997
Last Successful Update:Fri Jun 06 1997
Number of topics:2083
Total number of notes:14613

1425.0. "Help finding extreme of a parabola?" by WFOVX8::SPORBERT (All the little ghoulies are calling your name) Thu Apr 18 1991 17:45

	 Hi All!  

I have a question concerning solving a quadratic formula.  
How do you solve the graph of a quadratic function using the 
y intercept and an extreme point.  Actually I just need to 
know how to find the extreme point.  My school book says 
something like this:

y = ax^2 + bx + c

Factor an a out of the two terms containing x.

y = a(x^2 + b/ax) + c

then complete the square of the terms within the parenthesis. 
(this is where I get lost...)

y = a(x^2 +b/ax + b^2/4a^2) + c - b^2/4a

  = a(x + b/2a)^2 +c = b^2/4a

HUH???

Is there an easier way to do this???? 8-)

                           Thanks - Ed
T.RTitleUserPersonal
Name
DateLines
1425.1Some helpCOOKIE::PBERGHPeter Bergh, DTN 523-3007Thu Apr 18 1991 18:5867
1425.2Why you need to complete the squareCRONIC::NIHAO::MCINTYREFri Apr 19 1991 18:0077