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If \(f(0)=0\), \(f(1)=2\), \(f(2)=5\) and \( f(x)=ax^2+bx+c\), what is the value of \(f(3)\)?

 Mar 7, 2022
 #1
avatar+117821 
+1

f(0)=0  what can you get from that?

 Mar 7, 2022
 #2
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+1

Maybe c=0 or ax^2+bx=-c?

Guest Mar 7, 2022
 #3
avatar+36433 
+1

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' ?

ElectricPavlov  Mar 8, 2022
 #4
avatar+117821 
+1

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  

Melody  Mar 8, 2022

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