Question

Find the vertex and focus of the parabola whose equation is 24x=-(y-6)^2+192

Answer 1

first divide RHS by 24

Answer 2

x = (-1/24)(y-6)^2 + 8

Answer 3

ok

Answer 4

vertex is (8,6)

focus can be found using formula
4p = 1/a
where a = -1/24

--> 4p = -24
--> p = -6

focus is 6 left of vertex
(2,6)

Answer 5

vertex I got (8,6)

Answer 6

Thank you