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

Algebra.Com
Question 535086: Find a quadratic function in standard form for each set of points.
(0, 3), (1, –4), (2, –9)

Answer by lwsshak3(11628)   (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

RELATED QUESTIONS

Find a quadratic function in standard form for each set of points. (0, 3), (1, –4), (2,... (answered by htmentor)
Find a quadratic function in standard form for each set of points. (0, 3), (1, –4), (answered by solver91311)
Find a quadratic model in standard form for each set value. (0, 3) (1, 10) (2,... (answered by solver91311)
i have to find a quadratic function in standard form for these set of points... (answered by scott8148)
Write a quadratic function in standard form for each given set of zeros. 3 and... (answered by stanbon)
16. Find a quadratic function in standard form that has the following points: (1, -2); (answered by DrBeeee)
Write a quadratic function in standard form for each given set of zeros. 35. 6 and 2 (answered by stanbon)
write a quadratic function in standard form for the given set of zeros: -5 and... (answered by Earlsdon)
What is the quadratic equation in standard form with set of points (0,-4) (1,0) (2,-2) (answered by Boreal)