SOLUTION: Describe, sketch and label the focus, vertex, and directrix of the parabola 4𝑦² + 8𝑦 − 8𝑥 + 7 = 0.

Question 1177687: Describe, sketch and label the focus, vertex, and directrix of the parabola 4𝑦² + 8𝑦 − 8𝑥 + 7 = 0.
Answer by MathLover1(20855) (Show Source): You can put this solution on YOUR website!

.........complete square
.........b=2/2=1

so you have
is the standard equation for a right-left facing parabola with vertex at (,),

-> , , ->
vertex: (,)
focus: (,) = (,)

directrix:
parabola is symmetric around the -axis and so the directrix is a line parallel to the y-axis, a distance from the vertex ( ,) x-coordinate
.........since

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