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April 15th, 2015, 11:30 AM   #1
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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.

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Paul
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April 15th, 2015, 01:52 PM   #2
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a. $\displaystyle y = \frac{1}{3}(x-2)(x-6)$

b. "one root" would have to be a single root of multiplicity two ...

$\displaystyle y = \frac{1}{9}(x-6)^2$
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April 15th, 2015, 02:31 PM   #3
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There are two solutions missing here.
Thanks from topsquark

Last edited by v8archie; April 15th, 2015 at 03:02 PM.
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