Question

Find a quadratic model for the set of values.

x:
-2
0
4

f(x):
1
-3
85

A. y = 3x^2 + 6x - 4

B. y = -4x^2 - 6x + 3

C. y = 4x^2 + 6x - 3

D. y = 6x^2 + 4x - 3

Answer 1

since you're given a list of choices, you can plug in each x value and see if you get the correct y value out

Answer 2

for example, the table states that if x = 0, then f(x) = -3

so plugging x = 0 should give you y = -3

this is the same for each x,y pairing

Answer 3

Formula:

(x+a)(x+b)=x^2+bx+ax+ab=x^2+(ab)^2+ab