The equation of the graph is ( x -5)² = 8 (y+4), the correct option is D.
What is the standard equation of a parabola?
The standard equation of a parabola is y = -a(x-h)² +k, here (h,k) is the vertex of the parabola.
The vertex of the parabola is (5,-4)
The point in the parabola is (9,-6), from the graph
(y +4) = -a ( x -5)²
(-6+4) = -a(9 -5)²
2 / 16 = a
a = 1/8
( x -5)² = 8 (y+4)
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