Algebra Pre-Algebra and Basic Algebra Math Forum

 April 15th, 2015, 10:30 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, 12:52 PM #2 Math Team   Joined: Jul 2011 From: Texas Posts: 2,770 Thanks: 1424 a. $\displaystyle y = \frac{1}{3}(x-2)(x-6)$ b. "one root" would have to be a single root of multiplicity two ... $\displaystyle y = \frac{1}{9}(x-6)^2$
 April 15th, 2015, 01:31 PM #3 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,445 Thanks: 2499 Math Focus: Mainly analysis and algebra There are two solutions missing here. Thanks from topsquark Last edited by v8archie; April 15th, 2015 at 02:02 PM.

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