Find the equation of the Bezier curve that passes through (0, 0) and (4, 2) and controlled through (14, 10) and (4, 0).
To find the equation of a cubic Bezier curve passing through two points and controlled by two other points, we can use the Bezier curve formula:
\[B(t) = (1-t)^3P_0 + 3t(1-t)^2P_1 + 3t^2(1-t)P_2 + t^3P_3\]
where:
- \(P_0\) and \(P_3\) are the endpoints through which the curve passes.
- \(P_1\) and \(P_2\) are the control points that affect the shape of the curve.
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