What is the equation in standard form, of a parabola that models the values in the table?

Question

x f(x)
-2 4
0 -6
4 70

Answer 1

let y = ax^2+bx+c

it's easy to see that c=-6, so

4a-2b = 10
16a + 4b = 70

(a,b)=(4,3) and so

y = 4x^2+3x-6

Answer 2

thank you, helped explaining the answer