SOLUTION: The equation of a parabola is given. y=−1/12x^2−2x−1 What are the coordinates of the focus of the parabola?

Algebra ->  Length-and-distance -> SOLUTION: The equation of a parabola is given. y=−1/12x^2−2x−1 What are the coordinates of the focus of the parabola?      Log On


   

Question 1078315: The equation of a parabola is given.

y=−1/12x^2−2x−1

What are the coordinates of the focus of the parabola?
Answer by josgarithmetic(39631) About Me  (Show Source):
You can put this solution on YOUR website!
Equation same as -12%28y-11%29=%28x%2B12%29%5E2 showing that the vertex is (-12,11).

The negative factor on the left side means the parabola has its focus below the vertex.

p, how far the focus from the vertex,
-12=4p
p=-3

Focus is (-12, 8).