Plot the points (scatter plot?)
Find quadratic function that best models:
(-4,37)
(-3,19)
(-2,7)
(-1,1)
(0,1)
(1,7)
(2,19)
Do I use my calculator? If so, how?
As you have the point (0,1) you know it will be $\displaystyle y = ax^2+bx+1
$
Now you can do $\displaystyle 1 = a -b$, $\displaystyle a = 1+b$ and $\displaystyle 7 = a + b$
7 = (1+b)+b , 2b+1 = 7 and so b = 3
Therefore a is 7 = a+3 and so a = 4
Putting all these together we get:
4x^2 + 3x + 1 = 0