For each of the following questions identify the type of con

For each of the following questions, identify the type of conic, then identify focus/foci, vertex?vertices, and transformations.

Please show all your work.

1. 1/6(x-1)² = y

2. 36x²+72x -4y²+32y = -116

Solution

1 . (1/6)(x-1)^2=y

y=(1/6)(x-1)^2 +0

vertices(1,0)

focus(h,(k+1/4a)=(1,3/2)

Its a parabola