What are the vertex, focus, and directrix of the parabola with the given equation?

12y = x^2 –6x + 45 (1 point)

Vertex is (3,3)

Focus (3,6)

Directrix y=0

Step-by-step explanation:

We are given that an equation of parabola

Subtract 45 on bot sides then we get

To make complete square on right side

We add 9 on both sides

   (

Compare it with the equation of parabola along y- axis

Then, we get h=3,k=

Vertex of parabola =(h,k)=(3,3)

Focus of parabola=(x,p+k)=(3,3+3)=(3,6)

Equation of directrix of parabola ,y=k-p=3-3=0

b if for most of the graph

d if y intercept

step-by-step explanation: