1. ## Quadratic Function Models

Could anyone give me a link to a good description or a description on how to do this?

Use the given values to find an equation of the form f(x)=ax^2+bx+c
1.f(0)=5, f(1)=10, f(2)=19

2. Originally Posted by RaphaelB30
Could anyone give me a link to a good description or a description on how to do this?

Use the given values to find an equation of the form f(x)=ax^2+bx+c
1.f(0)=5, f(1)=10, f(2)=19

$f(0) = a(0)^2+b(0)+c = 5$

$\therefore c = 5$

$f(1) = a(1)^2+b(1)+c = 10$

$a+b+5 = 10$

$a+b = 5$ ************

$f(2) = a(2)^2+b(2)+c = 10$

$4a+2b+5 = 10$

$4a+2b = 5$ **************

You know c, and you now have two equations in a and b which you can solve simultaneously.