Bezier curves in Unity

Bezier.cs

  /// <summary>
  /// Easy and simple Bezier curves for Unity
  /// </summary>
  /// <remarks>http://devmag.org.za/2011/04/05/bzier-curves-a-tutorial/ </remarks>
  public static class Bezier
  {
    /// <summary>
    /// 
    /// </summary>
    /// <param name="t">Time, between 0 and 1</param>
    /// <param name="p0">Source</param>
    /// <param name="p1">Control point 1</param>
    /// <param name="p2">Control point 1</param>
    /// <param name="p3">Destination</param>
    /// <returns></returns>
    public static Vector3 Cubic(float t, Vector3 p0, Vector3 p1, Vector3 p2, Vector3 p3)
    {
      // [x,y]=(1–t)^3*P0+3(1–t)^2*t*P1+3(1–t)t^2*P2+t^3P3

      float u = 1 - t;
      float tt = t * t;
      float uu = u * u;
      float uuu = uu * u;
      float ttt = tt * t;
      
      Vector3 p = uuu * p0; //first term
      p += 3 * uu * t * p1; //second term
      p += 3 * u * tt * p2; //third term
      p += ttt * p3; //fourth term

      return p;
    }

    /// <summary>
    /// 
    /// </summary>
    /// <param name="t">Time, between 0 and 1</param>
    /// <param name="p0">Source</param>
    /// <param name="p1">Control point</param>
    /// <param name="p2">Destination</param>
    /// <returns></returns>
    public static Vector3 Quadratic(float t, Vector3 p0, Vector3 p1, Vector3 p2)
    {
      // [x,y]=(1–t)^2*P0+2(1–t)*t*P1+t^2*P2

      float u = 1 - t;
      float tt = t * t;
      float uu = u * u;

      Vector3 p = uu * p0; //first term
      p += 2 * u * t * p1; //second term
      p += tt * p2; //third term

      return p;
    }
  }

isnt the term switched? cube = 3, quad = 4?

no, quadratic is degree 2, cubic is degree 3, the next degree is called quatric (4) https://en.wikipedia.org/wiki/Degree_of_a_polynomial.