# Cubic with 3 Conditions

Level pending

A cubic function $$f(x)$$ satisfies the following $$3$$ conditions:

A. $$(0,\ 1)$$ is the inflection point of $$y = f(x).$$

B. The line tangent to the curve $$y = f(x)$$ at $$(0,\ 1)$$ is parallel to $$y = -6 x.$$

C. $$f(x)$$ has an extreme value at $$x = 1.$$

What is the value of $$f(3)?$$

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