SOLUTION: I need to identify the focus, vertex, directrix, and graph x=-2y^2+4y-3

Question 881139: I need to identify the focus, vertex, directrix, and graph x=-2y^2+4y-3
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
identify the focus, vertex, directrix, and graph
x=-2y^2+4y-3
complete the square:
x=-2(y^2-2y+1)+2-3
x=-2(y-1)^2-1
(x+1)=-2(y-1)^2
(y-1)^2=-(1/2)(x+1)
This is an equation of a parabola that opens leftward.
Its basic form of equation: (y-k)^2=-4p(x-h), (h,k)=coordinates of the vertex
vertex:(-1,1)
4p=1/2
p=1/8
focus: (-9/8,1)
directrix: x=-7/8
..
see graph below:
y=�(-(x+1)/2)^.5+1

RELATED QUESTIONS
identify the vertex, focus and directrix. Then sketch the graph x=... (answered by lwsshak3)

2y2-4y-2=x how do i graph this parabola, and identify the vertex, focus, andd... (answered by lwsshak3)

I need to find the vertex, focus, directrix and axis of symmetry of the parabola:... (answered by lynnlo)

Identify the vertex, focus, and directrix of the graph y=1/20(x-3)^2-3... (answered by lwsshak3)

how do you identify the vertex, focus, and directrix of the parabola y=x^2+4x+3 And... (answered by stanbon)

graph the parabola and identify the vertex, focus, directrix:... (answered by lwsshak3)

Identify the vertex, focus, and directrix of the graph of... (answered by lwsshak3)

How do I graph the equation x^2=-4y and identify the focus, directrix, and axis of... (answered by ewatrrr)

i need to list the vertex, focus, and directrix of this parabola (x+2) =... (answered by lwsshak3)