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What is the equation of the parabola, in vertex form, with vertex at (-2,-4) and
directrix x = -6?
O A. (x+2) = 8(y+4)
B. (y+4)2 = - 8(x+6)
O c. (y+4)2 = 16(x+2)
O D.(x+4)² = 8(y+2)

Respuesta :

Luv2Teach

Answer:

Step-by-step explanation:

The distance between the vertex and the directrix is 4 units, that means that p = 4 in the equation

[tex](y-k)^2=4p(x-h)[/tex] and h and k are the coordinates of the vertex. Filling in:

[tex](y+4)^2=4(4)(x+2)[/tex] which simplifies to

[tex](y+4)^2=16(x+2)[/tex] choice C

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