Cubic graph explorer

Change the four coefficients to see the curve, its roots and its turning points.

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Questions students ask

How do you find turning points of a cubic?

Differentiate to get 3ax² + 2bx + c, set it to zero and solve the quadratic.

What formula does it use?

y = ax³ + bx² + cx + d; turning points where 3ax² + 2bx + c = 0.

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