SOLUTION: Develop a quadratic function that fits the data in the table: X --- | --- Y 3.99 | 500 5.99 | 650 7.99 | 200 I get how to do it in a larger sequence/table, b

Question 990333: Develop a quadratic function that fits the data in the table:

X --- | --- Y
3.99 | 500
5.99 | 650
7.99 | 200

I get how to do it in a larger sequence/table, but as this is only a set of 3 I don't really understand how to make a function, any help?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Develop a quadratic function that fits the data in the table:

X --- | --- Y
3.99 | 500
5.99 | 650
7.99 | 200
======================
If you know it's a quadratic 3 points is sufficient.
---
y = ax^2 + bx + c
Sub the values to get 3 equations
500 = a^3.99^2 + 3.99x + c
15.9201a + 3.99b + c = 500
---
35.8801a + 5.99b + c = 650
---
63.8401a + 7.99b + c = 200
========
Solve for a, b & c
Can you do that?
email via the TY note for help or to check your work.

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