negative 1 divided by 12 times x squared = y
To find vertex we use formula x= -b/2a
From the given equation a= -1/12 and b =0
Plug in the values in the formula
Now plug in x=0 in the given equation and find out y
So y=0
Hence vertex is (0,0), h=0 and k =0
Focus is (h, k+p)
We need to find out p
We know a= -1/12
p = 1/4a
So focus is (0,0-3) that is (0, -3)
Directrix is y = k - p
We know p = -3 and k=0
y = 0 -(-3) = 3. so directrix is y = 3
Focal width = |4p|
We know p = -3
so it becomes |4(-3)| = 12
Focal width = 12