Answer
The equation is $ 16a+4b+c=1682 $.
Work Step by Step
The given equation is $ y=ax^2+bx+c $ ... (1).
Substitute $ x=4 $ and $ y=1682 $ into the equation (1).
$ 1682=a(4)^2+b(4)+c $
Clear parentheses.
$ 1682 = 16a+4b+c $
Rearrange.
$ 16a+4b+c=1682 $.
