SOLUTION: Find a quadratic function that includes the set of values below. (0,3), (2,5), (3,−3)

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Find a quadratic function that includes the set of values below. (0,3), (2,5), (3,−3)       Log On


   

Question 1185020: Find a quadratic function that includes the set of values below.
(0,3), (2,5), (3,−3)
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


(0,3) is one of the given points, so the equation is of the form

y=ax%5E2%2Bbx%2B3

Use the other two given points to get two equations in a and b, then solve the pair of equations.

(2,5):
5=4a%2B2b%2B3
4a%2B2b=2
2a%2Bb=1 [1]

(3,-3):
-3=9a%2B3b%2B3
9a%2B3b=-6
3a%2Bb=-2 [2]

Solve [1] and [2] by your favorite method....