quadratic function

Quadratic equations and inequalities, variation equations, function notation, systems of equations, etc.

quadratic function

Postby Nat on Thu Jun 05, 2014 8:23 am

The quadratic function f(x)= px^2 + qx + r has f(0)= 35,f(1)=20 and f(2)=11.
Find the values of the constants p,q,r.

Express f(x) in the form a(x+b)^2+c. Use your answer to find the smallest value of f(x).

The only thing I know is r=35 (I think)

please help

thank you
Nat
 
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Re: quadratic function

Postby theshadow on Thu Jun 05, 2014 7:26 pm

Nat wrote:
The quadratic function f(x)= px^2 + qx + r has f(0)= 35,f(1)=20 and f(2)=11.

1: Find the values of the constants p,q,r.
2: Express f(x) in the form a(x+b)^2+c. Use your answer to find the smallest value of f(x).

The only thing I know is r=35 (I think)

Yes, if x = 0, then f = 0 + 0 + r = 35, so r = 35. Now use that number and plug in x = 1 and x = 2. This gives you two eqns in p and q. Solve the linear system of equations.
theshadow
 
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