Study Guide and Review
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If necessary, rewrite the equation. Then identify whether the ellipse is vertical or horizontal.
Center: (-1,2)
Foci: (2,2) and (-4,2)
Length of the Major Axis: 10 units
Length of the Minor Axis: 8 units
Graph:
Equation of the Horizontal Ellipse | a2(x−h)2+b2(y−k)2=1, a and b positive, with a>b |
52(x−(-1))2+42(y−2)2=1 |
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Center | (h,k) | (-1,2) |
Vertices | (h±a,k) | (-1±5,2) |
Co-vertices | (h,k±b) | (-1,2±4) |
Length of Major Axis | 2a units | 2(5)=10 units |
Length of Minor Axis | 2b units | 2(4)=8 units |
Foci | (h±c,k), c2=a2−b2 |
(-1±c,2), c2=52−42 |