Question

Help plz i’m unsure how to do this. Plato

Answer 1

Answer:

C

Step-by-step explanation:

Standard form of a Parabola that facing downwards, with focus, p and vertex (h,k)

$- (x - h) {}^{2} = 4p(y - k)$

We know the vertex is (-4,-3) so we get

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

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

Now we need to find the length of the focus.

The focus length is 1 because the distance from the vertex to focus is 1 so p=1

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

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

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

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

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

C is the answer