Example 2.  In a similar fashion, use in formula (4) and compute the coefficients of for the secant parabola  .

Solution 2.

Substitute     into the formulas given above and obtain

      

and  

      
    
which are used with the value    to obtain the secant parabola:  

      

The graphs of    and   are given in Figure 2.

(c) John H. Mathews 2004