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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.
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