A person is given one push on a tire swing and then allowed to swing freely. On the first swing the person travels a distance of
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At first glance, it might be tempting to say this is a linear function, because we see linear terms (3x and –6x); however, these are multiplied together, so it's actually a quadratic.
We need to expand the function (hint: use FOIL) to identify the terms.
The x^2-term, or quadratic term, is
. The x-term, or linear term, is 
. The number term, or constant term, is –20.
We need to expand the function (hint: use FOIL) to identify the terms.
The x^2-term, or quadratic term, is