The equation of the parabola will be (x-6)² = -32 (y-4). It is a right downward parabola.
A parabola is a curve in such a way that its distance from the focus and the directrix are the same from every point on the curve.
Given that:-
Vertex is located at (4,6)
directrix at Y=8
The equation of the parabola is given as:-
( x - h )² = -4a (y - k )
(x - 6 )² = -4 x 8 ( y - 4 )
( x - 6 )² = -32 ( y - 4 )
Hence the equation of the parabola will be (x-6)² = -32 (y-4). It is a right downward parabola.
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