SOLUTION: find the values of a,b and c of teh quadration y=ax^2+bx+c if it passes through the points (1,15), (-1,7), and (0,10).

Algebra ->  Matrices-and-determiminant -> SOLUTION: find the values of a,b and c of teh quadration y=ax^2+bx+c if it passes through the points (1,15), (-1,7), and (0,10).       Log On


   

Question 638508: find the values of a,b and c of teh quadration y=ax^2+bx+c if it passes through the points (1,15), (-1,7), and (0,10).
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
y=ax^2+bx+c
(0,10) => c=10
(1,15) => a+b+10=15 or a+b=5
(-1,7) => a-b+10=7 or a-b=-3


adding the two last equations yields 2a=2 so that a=1
and from the second equation a+b=5 we conclude b=4


y=x%5E2%2B4x%2B10

:)