Question

4?^2 − 9?^2 + 16? − 54? = 29

find the center of the hyperbola and the equations of the asymptotes in point-slope form.

Answer #1

Find the (a) center, (b) foci, and (c) asymptotes of the
hyperbola.
6.) 6x^2-y^2-48x+6y-9=0

Find the center, vertices, foci, and the equations of the
asymptotes of the hyperbola. (If an answer does not exist, enter
DNE.) 16x2 − y2 − 64x − 10y + 23 = 0

An equation of a hyperbola is given.
x^2/ 9 - y^2//49=1
(a) Find the vertices, foci, and asymptotes of the hyperbola.
(Enter your asymptotes as a comma-separated list of equations.)
vertex
(x, y)
=
(smaller x-value)
vertex
(x, y)
=
(larger x-value)
focus
(x, y)
=
(smaller x-value)
focus
(x, y)
=
(larger x-value)
asymptotes
(b) Determine the length of the transverse axis.
(c) Sketch a graph of the hyperbola.

2). Find the asymptotes of the hyperbola. (Enter your answers as
a comma-separated list of equations.)
y2 − 9x2 − 2y +
18x = 89
3). Find the asymptotes of the hyperbola. (Enter your answers as
a comma-separated list of equations.)
16x2 − 9y2 = 144

Find an equation in standard form of the hyperbola
described.
Center (6, −4), major axis horizontal and of length 12, distance
of 22 between foci

find the vertices,foci and asymptotes of the hyperbola and
sketch its graph y^2/25-x^2/9=1
show all work and step

An equation of a hyperbola is given.
x2 − 3y2 + 48 = 0
a) Find the vertices, foci, and asymptotes of the hyperbola.
(Enter your asymptotes as a comma-separated list of equations.)
vertex
(x, y)
=
(smaller y-value)
vertex
(x, y)
=
(larger y-value)
focus
(x, y)
=
(smaller y-value)
focus
(x, y)
=
(larger y-value)
asymptotes
(
b) Determine the length of the transverse axis.
(c) Sketch a graph of the hyperbola.

Find the center, foci, vertices, and eccentricity of the
hyperbola, and sketch its graph
y^2 - 16 x^2 + 64 x - 208 = 0
Please solve all the following needs.

Hyperbolas 4(y - 1)^2 - (x + 4)^2 - 36 =0
state the 2 vertices of the hyperbola
find the focal length (c), the distance from the center to foci.
state the foci
find the equation of the 2 asymptotes

Identify the following as the equation on a parabola, ellipse,
or hyperbola:
x^2-16y^2+64y-208=0
a) state what it is
b) depending on what it is, find the direction, coordinates of
the center, vertex or vertices, foci, and the equation of
asymptotes.

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