Find the vertex, focus, and directrix of the parabola. (x + 3)2 = 4(y - 1) verte

Question

Find the vertex, focus, and directrix of the parabola. (x + 3)2 = 4(y - 1) vertex (x, y) = ( ) focus (x, y) = ( ) directrix Find the vertex, focus, and directrix of the parabola. y2 + 6y + 16x + 41 = 0 vertex (x, y) = ( ) focus (x, y) = ( ) directrix Find the vertices and foci of the ellipse. x2 + 9y2 = 9 vertices (x, y) = ( ) (smaller x-value) (x, y) = ( ) (larger x-value) foci (x, y) = ( ) (smaller x-value) (x, y) = ( ) (larger x-value) Find the vertices and foci of the ellipse. 49x2 + 81y2 = 81 vertices (x, y) = ( ) (smaller x-value) (x, y) = ( ) (larger x-value) foci (x, y) = ( ) (smaller x-value) (x, y) = ( ) (larger x-value)

Explanation / Answer

1. vertex= (-3,1)

focus=(-3,2)

Directrix: y=0

2. vertex= (-2,-3)

focus= (-6,-3)

directrix= (x=2)

3. vertices: (-3,0)and (3,0)

foci: (-2sqrt2,0) and (2sqrt2,0)

4. vertices: (-9/7,0) and (9/7,0)

foci: (-4sqrt2/7,0) and (4sqrt2/7,0)

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