Question

The table of values represents a quadratic function f(x). x f(x) −8 13 −7 6 −6 1 −5 −2 −4 −3 −3 −2 −2 1 −1 6 0 13 What is the equation of f(x)?

Answer 1

f(x) = [(226/3 - 8(13))/220]x^2 + [(56/33)13 + 53/33]x + 13

f(x) = (-2/55)x^2 + (893/165)x + 13

So the equation of f(x) is y = -0.03636x^2 + 5.4121x + 13