Match the second-degree equation to its graph. A. C. r² + y? + 2? – 2x + 2y + 4z + 6 = 0 r² + y² + z² – 2æ + 2z = 2 B. 4x? + y? – 6y + 13 = 0 D. 422 = 4 – 4x2 – 4? A ( Choose 1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 20E
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Match the second-degree equation to its graph.
A.
C.
a2 + y + z? – 2x + 2y + 4z + 6 = 0 a2 + y? + z² – 2æ + 2z = 2
В. 4л? + у? — 6у + 13 — 0
D. 422
4 – 4x? – 4y?
A
[ Choose ]
[Choose ]
point (-1,0,1)
sphere with radius 1 and center (0,0,0)
point (1,-1,-2)
point (-1,1,2)
ellipsoid
point (1,0,-1)
sphere with radius 2 and center (1,0,-1)
В
empty
sphere with radius 2 and center (0,0,0)
| Choose ]
D
Transcribed Image Text:Match the second-degree equation to its graph. A. C. a2 + y + z? – 2x + 2y + 4z + 6 = 0 a2 + y? + z² – 2æ + 2z = 2 В. 4л? + у? — 6у + 13 — 0 D. 422 4 – 4x? – 4y? A [ Choose ] [Choose ] point (-1,0,1) sphere with radius 1 and center (0,0,0) point (1,-1,-2) point (-1,1,2) ellipsoid point (1,0,-1) sphere with radius 2 and center (1,0,-1) В empty sphere with radius 2 and center (0,0,0) | Choose ] D
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