SOLUTION: Set up and solve a system of linear equations for the the following: find a, b and c for the quadratic function: f(x)=ax^2+bx+c Given that f(x)=1, f(-3)=17, f(2)=-1/2 I h

Question 4215: Set up and solve a system of linear equations for the the following:
find a, b and c for the quadratic function: f(x)=ax^2+bx+c
Given that
f(x)=1, f(-3)=17, f(2)=-1/2
I have completed the quadratic function portion but I'm really lost finding a, b and c...Pleese help.
Answer by longjonsilver(2297) (Show Source): You can put this solution on YOUR website!
f(-3)=17 means when x=-3, y=17
f(2)=-1/2 means when x=2, y=-1/2.

Put these 2 sets of information into the function to get 2 equations. However, as there are 3unknowns (a, b and c) you will need a third equation too: f(x)=1?? is this a typo on your part? shouldn't the x be a number?

Once you have the 3 equations, you will have to solve them simultaneously either by substitution or elimination.

Jon.

RELATED QUESTIONS
Given the following dependent system of equations Ax + By =C Dx + Ey = F where... (answered by stanbon)

Use a system of linear equations to find the quadratic function f(x) = ax2 + bx + c... (answered by MathLover1,ikleyn)

For a particular quadratic function f(x)=ax^2+bx+c f(-3)=-13 and f(2)=7. If a=-3, find b (answered by Alan3354)

I was given this problem and am not sure how to set up the quadratic formula. Could you... (answered by mangopeeler07)

Set up a system of linear equations and solve for the indicated quantities The sum of... (answered by ikleyn)

Actually, one is linear and the other quadratic. No such category. Solve this system... (answered by josmiceli)

Solve the following system of equations ax+by+cz=0 (a^2)x+(b^2) y+(c^2) z=0 (answered by Fombitz)

Find a quadratic function F(x) that takes its largest value of 200 at x=3, and express it (answered by ikleyn)

Consider this function f(x) = x^3+ax^2+bx+c where a>=0, b>0 Over what intervals is f... (answered by robertb)