Question

@vocaloid Can you please check my answer?

My answer is A.

Answer 1

just a moment, let me do the calculations

Answer 2

Okay.

Answer 3

the y-coordinates of the vertex and focus are the same so this is a horizontal parabola

it must be either C or D

Answer 4

Would it be C? Because of the negative sign?

Answer 5

i think so but we can double check

Answer 6

Okay, how would we do that? And after you've helped me with this question, can you help me with like two more? One of them I just need double checked and the other I need help with. But I'll open a new post.

Answer 7

yeah sure

it's been a while since i've done conic stuff so i'm a little rusty

Answer 8

That's alright and thank you so much for the help.

Answer 9

so our equation is

(y-k)^2 = 4a(x-h)

where (h,k) = (0,0)
since

focus = (-5,0) = (h + a,k)

we know that -5 = h + a
a = -5 since h = 0

Answer 10

working backwards from there we get our equation as

y^2 = -20x^2

Answer 11

i mean

Answer 12

y^2 = -20x

Answer 13

so yes, C was right

Answer 14

Which means that it would be option C?

Answer 15

Ohh alright!