Find the equation of the parabola that passes through the points showing work using quadratic regression
(0,-1) (-1,-4) (1,8)
I do not know what quadratic regression method is.
y = a x^2 + b x + c
-1 = 0 + 0 b + c
so
c = -1
y = a x^2 + b x -1
-4 = a - b - 1
so a - b = -3
8 = a + b -1
so a + b = 9
so
2 a + 0 = 8
a = 4
b = 9-4 = 5
so
y = 4 x^2 + 5 x - 1