Question

Which is the equation of a parabola with vertex (4,3) and directrix x = 6?

Answer 1

Answer:

( y - 3 )² = 8 ( x - 4 )

Step-by-step explanation:

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

Answer 2

Answer:

(y-3)^2 = -8(x-4)