Question

What is the equation of the parabola shown in the graph?

Answer 1

C is the correct answer

Answer 2

Answer:

Option C

Step-by-step explanation:

The standard form is (x - h)2 = 4p (y - k), where the focus is (h, k + p) and the directrix is y = k - p.

The focus  is -4,-4 and the directrix is y=-2 therefore h=-4 and

-2=k-p and -4=k+p adding this last equations we get -6=2k therefor k=-3

and p=-1

we plug this in the equation of the standard form we get:

$(x+4)^{2} =-4(y+3)$

$x^{2} +8x+16=-4y-12$

$x^{2} +8x+28=-4y$

$-\frac{x^{2}}{4} -2x-7=y$

Option C