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There is not sufficient information.

Any equation of the form y = ax3 will intercept the x-axis only at (0,0), for any non-zero value of a. This is a triple root of the equation.

Furthermore, consider any equation of the form y = (x-p)*Q(x) where Q(x) is any quadratic function of x without real roots.

This is the equation of a cubic which has only one x-intercept: at (p,0).

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Q: How do you find the equation of a cubic graph given that it has only on x intercept?
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