Precalculus
Name___________________________________ ID: 1
©o a2J0Y2k0s kKDuatya[ wSAomfKtow[ayrZeu hLNLWCn.Q a `A`lZll YrLiLgFhstNsF vr[eFspeIrLvMe_dK.
Assignment
Date________________ Period____
Identify the center, major vertices, minor vertices, foci, and eccentricity of each. Then sketch
the graph.
1) x 2 + 4 y 2 + 4x + 32 y + 52 = 0
2) x 2 + 4 y 2 - 2x - 16 y - 19 = 0
y
-8
-6
-4
y
8
8
6
6
4
4
2
2
-2
2
4
6
8 x
-8
-6
-4
-2
2
4
6
8 x
-2
-2
-4
-4
-6
-6
-8
-8
3) 9x 2 + y 2 - 72x - 2 y + 109 = 0
4) 4x 2 + 9 y 2 + 8x - 18 y - 131 = 0
y
-8
-6
-4
y
8
8
6
6
4
4
2
2
-2
2
4
6
8 x
-8
-6
-4
-2
2
-2
-2
-4
-4
-6
-6
-8
-8
5) 25x 2 + 16 y 2 + 150x + 32 y - 159 = 0
-6
-4
8 x
y
8
8
6
6
4
4
2
2
-2
6
6) 25x 2 + 16 y 2 + 150x - 32 y - 159 = 0
y
-8
4
2
4
6
8 x
-8
-6
-4
-2
2
-2
-2
-4
-4
-6
-6
-8
-8
4
6
8 x
Worksheet by Kuta Software LLC
-1-
©a Y2T0l2i0K iKVumtxaQ LSeopfBtuwpaqrOeh pLzLnC^.a g _AXlHlL RrgiCgWhxttss irVedsCewrCvherdT.] b eM[aLdke^ MwHiBtphO NIJnMfqiGnVictGee yPerteNcSagljcTuxlLupsw.
7) 25x 2 + 9 y 2 + 18 y - 216 = 0
8) 9x 2 + 25 y 2 + 36x - 200 y + 211 = 0
y
-8
-6
-4
y
8
8
6
6
4
4
2
2
-2
2
4
6
8 x
-8
-6
-4
-2
2
-2
-2
-4
-4
-6
-6
-8
-8
9) 4x 2 + 9 y 2 - 8x + 36 y + 4 = 0
-6
-4
8 x
y
8
8
6
6
4
4
2
2
-2
6
10) 16x 2 + 25 y 2 + 64x - 100 y - 236 = 0
y
-8
4
2
4
6
8 x
-8
-6
-4
-2
2
-2
-2
-4
-4
-6
-6
-8
-8
4
6
8 x
Worksheet by Kuta Software LLC
-2-
©J o2z0Q2^0r GKjuZtcaI BSvoUfxtOwtaLrOev mLXLfCg.v j VAjlblG lrgiXg\hutps] BrleosreIr\vae_dK.f V hMraZdyeG Qw_ijtYh` mIVnnfQiDnOiJtSeF LPnrae[cGaQlFcnuBlFutsN.