©` d2H0[1L6z sKtuGtcaW uSxo_fmtBwTazrXep SLpLzCC.L w bAZlKlG Urdisgwhrtas_ trwegswesrqvxetds.J B NMVaLd]eB LwZiCtUhL AIxnufgiTnTiBtBeQ MP^rCe]csa]lncnuVlzugsH.
Worksheet by Kuta Software LLC
Kuta Software - Infinite Precalculus
Ellipses
Name___________________________________
Date________________ Period____
-1-
Identify the center, vertices, co-vertices, and foci of each. Then sketch the graph.
1)
(
x
)
(
y
)
x
y
2)
(
x
)
(
y
)
x
y
3)
(
x
)
(
y
)
x
y
4)
x
(
y
)
x
y
5) x
y
x y
x
y
6) x
y
x y
x
y
©d S2p0g1P6t BKzuOtyac \SgoYf_tUwuayrweL MLvLTCK.x i zAXlql` \rOiTg^hqtgss qrle_sVeTrfvmekdc.V o WMca_dZeT rwriHtphG sIznyfDiwneixtce` EPCrAeAcZa[lWc^uclKuasv.
Worksheet by Kuta Software LLC
-2-
Identify the center, vertices, co-vertices, foci, length of the major axis, length of the minor axis,
length of the latus rectum, and eccentricity of each.
7) x
y
x y 8) x
y
y
Use the information provided to write the standard form equation of each ellipse.
9) Vertices:
(
,
)
,
(
,
)
Foci:
(
,
)
,
(
,
)
10) Vertices:
(
,
)
,
(
,
)
Foci:
(
,
)
,
(
,
)
11) Vertices:
(
,
)
,
(
,
)
Co-vertices:
(
,
)
,
(
,
)
12) Foci:
(
,
)
,
(
,
)
Co-vertices:
(
,
)
,
(
,
)
13) Foci:
(
,
)
,
(
,
)
Endpoints of minor axis:
(
,
)
,
(
,
)
14) Center:
(
,
)
Ve rt ex :
(
,
)
Focus:
(
,
)
15) Endpoints of major axis:
(
,
)
,
(
,
)
Endpoints of minor axis:
(
,
)
,
(
,
)
16) Eccentricity =
Center:
(
,
)
Co-vertex:
(
,
)
©a V2X0M1s6H gKmuwtiaL WSkoKfRtAwBalrxei lLRLzCc.g B yABlmlx lrJiAgqhrtHsZ JrveXsseTrIvJewdt.S g _MWaxdmed Nw^iWtghx hIgnBftiunMiKtHeE EPDrweccSablmcvuclwuXs`.
Worksheet by Kuta Software LLC
Kuta Software - Infinite Precalculus
Ellipses
Name___________________________________
Date________________ Period____
-1-
Identify the center, vertices, co-vertices, and foci of each. Then sketch the graph.
1)
(
x
)
(
y
)
x
y
Center:
(
,
)
Vertices:
(
,
)
(
,
)
Co-vertices:
(
,
)
(
,
)
Foci:
(
,
)
(
,
)
2)
(
x
)
(
y
)
x
y
Center:
(
,
)
Vertices:
(
,
)
(
,
)
Co-vertices:
(
,
)
(
,
)
Foci:
(
,
)
(
,
)
3)
(
x
)
(
y
)
x
y
Center:
(
,
)
Vertices:
(
,
)
(
,
)
Co-vertices:
(
,
)
(
,
)
Foci:
(
,
)
(
,
)
4)
x
(
y
)
x
y
Center:
(
,
)
Vertices:
(
,
)
(
,
)
Co-vertices:
(
,
)
(
,
)
Foci:
(
,
)
(
,
)
5) x
y
x y
x
y
Center:
(
,
)
Vertices:
(
,
)
(
,
)
Co-vertices:
(
,
)
(
,
)
Foci:
(
,
)
(
,
)
6) x
y
x y
x
y
Center:
(
,
)
Vertices:
(
,
)
(
,
)
Co-vertices:
(
,
)
(
,
)
Foci:
(
,
)
(
,
)
©D w2w0a1r6d GKdu^tWa] vSboPfjtDwNabrxez YLgLnCt.I V _ASldlD vrci`g]hrtgsj mrUecsNeUrWvoe^dR.H Y jMKaddTeS RwtiOtlhy _Iqnpfhi`nVidtweB rPjrCeIcKatlccjuOlzuEsh.
Worksheet by Kuta Software LLC
-2-
Identify the center, vertices, co-vertices, foci, length of the major axis, length of the minor axis,
length of the latus rectum, and eccentricity of each.
7) x
y
x y
Center:
(
,
)
Vertices:
(
,
)
,
(
,
)
Co-vertices:
(
,
)
,
(
,
)
Foci:
(
,
)
,
(
,
)
Major Axis: units
Minor Axis: units
Latus Rectum:
units
Eccentricity:
8) x
y
y
Center:
(
,
)
Vertices:
(
,
)
,
(
,
)
Co-vertices:
(
,
)
,
(
,
)
Foci:
(
,
)
,
(
,
)
Major Axis: units
Minor Axis: units
Latus Rectum:
units
Eccentricity:
Use the information provided to write the standard form equation of each ellipse.
9) Vertices:
(
,
)
,
(
,
)
Foci:
(
,
)
,
(
,
)
(
x
)
(
y
)
10) Vertices:
(
,
)
,
(
,
)
Foci:
(
,
)
,
(
,
)
(
x
)
(
y
)
11) Vertices:
(
,
)
,
(
,
)
Co-vertices:
(
,
)
,
(
,
)
(
x
)
(
y
)
12) Foci:
(
,
)
,
(
,
)
Co-vertices:
(
,
)
,
(
,
)
(
x
)
(
y
)
13) Foci:
(
,
)
,
(
,
)
Endpoints of minor axis:
(
,
)
,
(
,
)
(
x
)
(
y
)
14) Center:
(
,
)
Ve rt ex :
(
,
)
Focus:
(
,
)
(
x
)
(
y
)
15) Endpoints of major axis:
(
,
)
,
(
,
)
Endpoints of minor axis:
(
,
)
,
(
,
)
(
x
)
(
y
)
16) Eccentricity =
Center:
(
,
)
Co-vertex:
(
,
)
(
x
)
(
y
)
Create your own worksheets like this one with Infinite Precalculus. Free trial available at KutaSoftware.com
