Question

Find a quadratic model for the set of values: (-2, -20), (0, -4), (4, -20).

Answer 1

The standard parabola is -
y = ax^2 + bx + c

you can use the points given with that to figure out what a,b,c are equal to..

Answer 2

(0, -4)
-4 = a*0^2 + b*0 + c

(4 , -20)
-20 = a*4^2 + b*4 + c

(-2 , -20)
-20 = a*(-2)^2 + b*(-2) + c

Those simplify..
-4 = c
-20 = 16*a + 4*b + c
-20 = 4*a - 2*b + c