If \(f(0)=0\), \(f(1)=2\), \(f(2)=5\) and \( f(x)=ax^2+bx+c\), what is the value of \(f(3)\)?
f(0)=0 what can you get from that?
But remember....when f(0) x = 0 so you get a(0)^2 + 0 * x + c and this equals 'c'
AND you are told f(0) = 0 NOW what can you say about 'c' ?
Do you understand what EP is telling you ?
Yes, yu wre right the first time. c=0
so now you have
\(f(x)=ax^2+bx\\ now \;what? \)
sub in the other 2 and you will get two equations that you can solve simultaneously to get a and b.
Give it a go and get back to us with what you have tried