Question

The equation of a parabola is 18(y−5)2=x+3 .
What are the coordinates of the focus?
(−5, 5)
(−3, 3)
(−1, 5)
(−3, 7)

Answer 1

1/8(y−5)²=x+3
(y-5)² = 8(x+3)

The formula of parabola in standard form
(y-k)² = 4p(x-h),  (h, k) - vertex,  (h+p, k) focus
For our parabola 
vertex (-3,5)
4p=8
p=2
This is a horizontal parabola because y².
So to find the coordinates of the focus we need to add to x coordinate of vertex.
(-3+2, 5) = (-1,5) focus
Correct answer is  (-1,5).

Answer 2

Answer: -1, 5

Step-by-step explanation: Confirming the answer :)