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

a. y = -x^2/8 - x - 4

b. y = -x^2/4 - 2x - 8

c. y = -x^2/4 - 2x - 7

d. y = -x^2/8 - x - 5

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:

Option C

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step-by-step explanation:

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step-by-step explanation: