Isolate to the left side of the equation.
Rewrite the equation as .
Subtract from both sides of the equation.
Use the vertex form, , to determine the values of , , and .
Find the vertex .
Find , the distance from the vertex to the focus.
Find the distance from the vertex to a focus of the parabola by using the following formula.
Substitute the value of into the formula.
Multiply by .
Move the negative in front of the fraction.
Find the focus.
The focus of a parabola can be found by adding to the x-coordinate if the parabola opens left or right.
Substitute the known values of , , and into the formula and simplify.
Find the Focus -12(y-6)^2=(x+5)