Obtain the equation of the parabola whose focus is (4,5) and vertex is (3,6)
i).Given the focus
Let SA meet the directrix in Z(h,k). A=mid point of SZ.
The point is Z(2,7). Slope of SZ=1.
Directrix is perpendicular to SZ.
Therefore, slope of the directrix is -1.
Therefore,the equation to the directrix is
Let P(x_1,y_1) be any point on the parabola and PM be the perpendicular to the directrix.
Hence the locus of P is