Took a pretest and this one stumped me. Any help would be greatful

The relation could be a function. As it is presented it is not linear. The possible alternative is a parabola.

f(x) = ax

^{2}+ bf(6) = a(6)

^{2}+ b6 = 36a + b

f(3) = a(3)

^{2}+ b8 = 9a + b

2 = -27a

-2/27 = a

f(x) = -2x/27 + b

f(3) = -2(3)

^{2}/27 + b8 = -2(9)/27 + b

8 = -2/3 + b

26/3 = b

f(x) = -2x/27 + 26/3

Testing this with another pair:

f(7) = -2(7)

^{2}/27 + 26/38 = -98/27 + 26/3

8 = -98/27 + 234/27

8 = 136/27

8 ≠ 5.03

Assuming my arithmetic is correct, what is presented is neither linear nor parabolic.

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