Hi

parabola with vertex at (4,-1) and directrix y = 1.

Directrix parallel to the x-axis. Parabola opening upward or downward.

Note: standard form is , where  the focus is (h,k + p)

and the directrix is -p distance from the vertex

vertex at (4,-1) directrix y = 1 Parabola opens downward

 (x-4)^2 = -8(y+1)  |directrix y = 1 therefore: p = -2  4p = -8 

or y = (-1/8)(x-4)^2 - 1









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