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April 15th, 2015, 11:30 AM  #1 
Newbie Joined: Apr 2015 From: Southampton Posts: 4 Thanks: 0  Help please with quadratics
Can anyone help me solve the following problem tonight if possible. Many thanks in advance!! I'm not good with quadratics and can't even find the function formula for these. A quadratic function passes through the points (0, 4) and (6, 0). Sketch two possible quadratic functions with each of the following properties. a Two roots and a turning point when x = 4. b Exactly one root. Regards, Paul 
April 15th, 2015, 01:52 PM  #2 
Math Team Joined: Jul 2011 From: Texas Posts: 2,805 Thanks: 1449 
a. $\displaystyle y = \frac{1}{3}(x2)(x6)$ b. "one root" would have to be a single root of multiplicity two ... $\displaystyle y = \frac{1}{9}(x6)^2$ 
April 15th, 2015, 02:31 PM  #3 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,553 Thanks: 2556 Math Focus: Mainly analysis and algebra 
There are two solutions missing here.
Last edited by v8archie; April 15th, 2015 at 03:02 PM. 

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