Answer:
(a) F(x) = 2x^2 - x - 1
Step-by-step explanation:
The quadratic regression function of a graphing calculator does this nicely.
The one attached shows the function to be ...
F(x) = 2x^2 -x -1
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Additional comments
The supplied point (0, -1) tells you the y-intercept is -1. That means the constant in the function's equation will be -1. Only one answer choice has that.
F(x) = 2x^2 -x -1
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As always, the first step in problem solving should be to look at the problem, and look at the available solution choices. Understanding these things will generally allow you to throw out answer choices that don't provide a sensible answer to the question. Here, that leaves you with only one answer choice, which is all you need.