Answer:
(y - 3 )² = 8 ( x - 4 )
The given vertex of Parabola is ( 4 , 3)
And Directrix is X = 6
The equation of parabola is
( y - k )² = - 4 ( P) ( x - h )
Now p = 4 - x = 4 - 6 = - 2
And given value of ( k , h) = ( 4 , 3)
Or ( y - 3 )² = - 4 ( - 2) ( x - 4 )
Or, ( y - 3 )² = 8 ( x - 4 )
Hence The equation of parabola with directrix x = 6 And
vertex ( 4 , 3 ) is ( y - 3 )² = 8 ( x - 4 ) Answer
