Forces and Motion Question

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College Forces and Motion

A certain spring has a sectoring force that obeys the equation

$F(x)=-ax+bx^2$ . Which of the following is the equation for the potential energy as a function of position? (Set the potential energy equal to zero at the equilibrium point of the spring, x=0.)

$-a+2bx$
$a-2bx$
$-ax^2/2+bx^3/3$
$ax^2/2-bx^3/3$
$-ax^2/2+bx^3/3+c$