The answer is (y - 3 )² = 8 ( x - 4 ).
The given vertex of Parabola is ( 4 , 3)
And Directrix is X = 6
What is the equation of a parabola?
The equation of a parabola is :
⇒ [tex]( y - k )^{2} = - 4 ( P) ( x - h )[/tex]
Now p = 4 - x = 4 - 6 = - 2,
And given value of ( k , h) = ( 4 , 3)
Or [tex]( y - 3 )^{2} = - 4 ( - 2) ( x - 4 )[/tex]
Or, [tex]( y - 3 )^{2} = 8 ( x - 4 )[/tex]
Hence, The equation of a parabola with directrix x = 6 and
vertex ( 4 , 3 ) is ( y - 3 )² = 8 ( x - 4 )
Learn more about the equation of a parabola here: brainly.com/question/4061870
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