SOLUTION: Please help me with this problem: Suppose f(x) = {{{ax^2}}} + bx +c. Find a, b, and c if f(1) = 5 and f"(1) = 4.

Algebra ->  Test  -> Lessons -> SOLUTION: Please help me with this problem: Suppose f(x) = {{{ax^2}}} + bx +c. Find a, b, and c if f(1) = 5 and f"(1) = 4.       Log On


   

Question 1024091: Please help me with this problem:
Suppose f(x) = ax%5E2 + bx +c. Find a, b, and c if f(1) = 5 and f"(1) = 4.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose f(x) = ax%5E2 + bx +c. Find a, b, and c if f(1) = 5 and f"(1) = 4.
--------
f'(x) = 2ax + b
f"(x) = 2a
------------------------
f(1) = a + b + c = 5
f"(1) = 2a = 4
-----
a = 2, b+c = 3
---------------
Cheers,
Stan H.
------------
-----