# determine equation of a quadratic function

• September 4th 2010, 05:48 AM
euclid2
determine equation of a quadratic function
a quadratic function has the following characteristics: g''(1)=6,g'(1)=3, and g(1)=1. determine a possible equation for this function.

i got g(x)=3x^2-3x+1 and was wondering if anyone can verify.
• September 4th 2010, 06:03 AM
Plato
Quote:

Originally Posted by euclid2
a quadratic function has the following characteristics: g''(1)=6,g'(1)=3, and g(1)=1. determine a possible equation for this function.

i got g(x)=3x^2=3x+1 and was wondering if anyone can verify.

I think that you mean minus where you have =.

Other than that it is good to go.
• September 4th 2010, 06:07 AM
chisigma
The 'simplest' function that 'meets' the requirements is the 'Taylor polynomial'...

$\displaystyle g(x)= g(1) + g^{'} (1)\ (x-1) + g^{''} (1)\ \frac{(x-1)^{2}}{2}= 1- 3\ x + 3\ x^{2}$ (1)

Kind regards

$\chi$ $\sigma$