SOLUTION: I am stuck on finding a quadratic model for (1,-2), (2,-2), (3,-4). I do not know how to put x numbers and y numbers in the formulas and how to solve the answer? How do you get the

Algebra.Com
Question 263489: I am stuck on finding a quadratic model for (1,-2), (2,-2), (3,-4). I do not know how to put x numbers and y numbers in the formulas and how to solve the answer? How do you get the three equations with variables a, b, and c?
How do you find the values for a,b, and c?
Thanks!

Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!
general equation ___ y = ax^2 + bx + c

in this case:

for (1,-2) ___ -2 = a(1)^2 + b(1) + c ___ a + b + c = -2

for (2,-2) ___ -2 = a(2)^2 + b(2) + c ___ 4a + 2b + c = -2

for (3,-4) ___ -4 = a(3)^2 + b(3) + c ___ 9a + 3b + c = -4

three equations and three unknowns

RELATED QUESTIONS

I am stuck on finding a quadratic model for (1,-2), (2,-2), (3,-4). I do not know how to... (answered by stanbon)
Can someone please help me. I need to write three equations that has to be turned in... (answered by stanbon,vleith)
Hey I have a table of values chart and I need to find out the equation that fits a linear (answered by Fombitz,ewatrrr)
Fill in table using the given formulas. S=n(n + 1)(2n + 1) I need to know what goes next (answered by stanbon)
I have a system of two linear equations in the form ax+by=c. I am trying to convert them... (answered by Alan3354)
I did this linear equation problem, but I want to make sure it is right. Graph a line... (answered by drk)
I did this linear equation problem, but I want to make sure it is right. Graph a line... (answered by stanbon)
Please help me on this problem...I know how to go to the edit screen and insert the data... (answered by Edwin McCravy)
I am stuck on this. Please help! (-33xy^-1 / 66x^0y^-3)^2 (-33/66)^2 (x/x^0)^2... (answered by ewatrrr)