Which function contains this set of ordered pairs?

{(–2, –7), (0, 1), ( 3, –17)}

1 answer

all kinds of functions.
Any 3 non-collinear points can be expressed by a quadratic, a cubic, a trig function ....

e.g Wolfram found:
y = -4.7632sinx + 8.70749cosx - 7.70749

if you want a quadratic"
y = ax^2 + bx + c

-7 = 4a - 2b + c
1 = c
-17 = 9a + 3b + c

solve for a, b, and c
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