Which is the equation of a parabola with focus (-2, -4) and vertex (-4, -4)?
A. (y+4)^2=8x+4
B. (y+4)=8x^2+4
C. (y+4)^2=8(x+4)
D. (y+4)^2=8(x+4)^2

a

step-by-step explanation:

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step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)