SOLUTION: Find a quadratic function in standard form for each set of points. (0, 3), (1, –4), (2, –9)

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Find a quadratic function in standard form for each set of points. (0, 3), (1, –4), (2, –9)      Log On


   

Question 535086: Find a quadratic function in standard form for each set of points.
(0, 3), (1, –4), (2, –9)
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find a quadratic function in standard form for each set of points.
(0, 3), (1, –4), (2, –9)
**
y=Ax^2+Bx+C
3=0x^2+0x+C for (0,3)
3=C
..
-4= A+ B+3 for (1,-4)
-9=4A+2B+3 for (2,-9)
-8=2A+2B+6 (mult.1st eq by 2)
-1=2A-3
2A=2
A=1
..
-4=1+B+3
B=-8
..
Equation:
y=x^2-8x+3