35-46 Finding the Equation of a Shifted Conic Find an equation for the conic section with the given properties. The hyperbola with center C ( − 1 , 4 ) , vertices V 1 ( − 1 , − 3 ) and V 2 ( − 1 , 11 ) , and foci F 1 ( − 1 , − 5 ) and F 2 ( − 1 , 13 )
Solution Summary: The author explains the equation of a hyperbola with center C(-1,4), vertices V_1 left, and foci.
35-46
Finding the Equation of a Shifted Conic Find an equation for the conic section with the given properties.
The hyperbola with center
C
(
−
1
,
4
)
, vertices
V
1
(
−
1
,
−
3
)
and
V
2
(
−
1
,
11
)
, and foci
F
1
(
−
1
,
−
5
)
and
F
2
(
−
1
,
13
)
Curve that is obtained by the intersection of the surface of a cone with a plane. The three types of conic sections are parabolas, ellipses, and hyperbolas. The main features of conic sections are focus, eccentricity, and directrix. The other parameters are principal axis, linear eccentricity, latus rectum, focal parameter, and major and minor axis.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.