The hyperbola (y2/4) - (x2/5) = 1 is shifted 2 units down to generate the hyperbola ( y + 2)^2/4 - x2/5 = 1. a. Find the center, foci, vertices, and asymptotes of the new hyperbola. b. Plot the new center, foci, vertices, and asymptotes, and sketch in the hyperbola.

The hyperbola (y2/4) - (x2/5) = 1 is shifted 2 units down to generate the hyperbola ( y + 2)^2/4 - x2/5 = 1. a. Find the center, foci, vertices, and asymptotes of the new hyperbola. b. Plot the new center, foci, vertices, and asymptotes, and sketch in the hyperbola.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.3: Hyperbolas

Problem 30E

See similar textbooks

Related questions

Q: Find an equation of a hyperbola in the form x2 /M - y2 /N = 1 M,N > 0 if the origin is at the…

A: Solution is given below:

Q: Find the length of a,b,c of the hyperbola: y^2-x^2=1

A: The given equation of hyperbola is: y2-x2=1

Q: 3. The line segment between the vertices of a hyperbola is called the axis.

A: Given that,

Q: Do I have to use the equations for the asymptotes of a hyperbola centered at the origin, y = tr or y…

A: The equations for the asymptotes of a hyperbola centered at the origin is y = ±bax or y = ± abx.…

Q: What is the distance between the vertices of the hyperbola with one focus at (-1, 4) and co-vertices…

Q: If the asymptotes of a hyperbola are y = x + 1and y = -x + 1, identify the center of the hyperbola.…

Q: Find the standard form of the equation of the hyperbola with the given characteristics. Foci: (±5,…

Q: Find the equation of the conic section indicated. Parabola with focus (8, 0), directrix x = −8

Q: Explain why it is not possible for a hyperbola to have foci at (0, -2) and (0, 2) and vertices at…

A: The standard form of the equation of a hyperbola with center (0,0) and transverse axis on the y-axis…

Q: Find an equation of the hyperbola that has foci at (0, -15) and (0, 15), and asymptotes y= 3 3 2x…

Q: ind of an equation of a hyperbola in the form x2 / M

A: Given that: Centre of the hyperbola = Origin=(0, 0)Length of…

Q: Choose the type of the conic section. O hyperbola O parabola

Q: Find the standard form of the equation of the hyperbola with the given characteristics and center at…

A: equation of hyperbola if vertices (0, plus minus a) is y2/a2 + x2/b2 = 1

Q: Determine the equation of a hyperbola with vertices at (1,0) and asymptotes y=5x Please base your…

A: Option (c) x2-y225=1

Q: The eccentricity e of a hyperbola is defined as the number c/a, where ais the distance of a…

A: Given : The eccentricity of a hyperbola is defined as a number of ca

Q: Find an equation for the hyperbola that has its center at the origin and satisfies the given…

A: We have, a hyperbola satisfies the given conditions as vertical transverse axis of length 10,…

Q: The hyperbola in Position I opening up opening down in Position II y² x² 4 16 1 is

A: Topic :- geometry

Q: Find the equation of the conic section indicated. Parabola with vertex (4, −1), directrix x = 15

A: Vertex is 4, -1 and directrix is x=15. Now vertex is, h, k=4, -1⇒h=4 & k=-1 & Directrix…

Q: Find the center, foci, vertices, and eccentricity of the hyperbola ( y +…

A: y+32225-x-5264=1⇒y--32152-x-5282=1 Now comparing with y-k2a2-x-h2b2=1, we get k=-3, h=5, a=15 &…

Q: Find the center, foci, vertices, and eccentricity of the hyperbola x2/25…

A: Known fact: For the equation of the hyperbola of the form x2a2-y2b2=1, Center is 0,0 Vertices are…

Q: Find the standard form equation for a hyperbola with vertices at (4,0)(4,0) and (−4,0)(-4,0) and…

A: For horizontal hyperbola,Equation of hyperbola is x-h2a2 +…

Q: Find an equation for the hyperbola that has its center at the origin and satisfies the given…

A: Given: Foci F0,±5, conjugate axis of length 4 For given data transverse axis is on y-axis and…

Q: Find the standard form of the equation of the hyperbola with the given characteristics. Vertices:…

A: Given that, Vertices: 5,0,5,8 Asymptotes: y=45x, y=8-45x

Q: Find the standard form of the equation of the hyperbola with foci (0, ±2) andasymptotes y = ±19x

A: Find the standard form of the equation of the hyperbola with foci (0, ±2) andasymptotes y = ±1/9x

Q: what is the equation of a parabola with a vertex at (4, 8) and a directrix at y=5

Q: The hyperbola with vertices at (0, 3) and (o, - 3) and foci at (0, 5) and (0, - 5) has the equation…

Q: The distance from the center to a vertex of the hyperbola 4 16 is

Q: Find the center, foci, and vertices of the hyperbola 9x^2-y^2-36x-6y+18=0 and sketch its graph…

Q: Find the standard form of the equation of the hyperbola with the given characteristics. vertices:…

A: solve the following

Q: Identify the conic given by -° -) ., (x- 8)²_ (y-9)² 64 - 1 4 hyperbola circle ellipse O parabola

Q: 5. Find the equation of the hyperbola whose asymptotes are the straight lines x = 0 and y = 0 and…

Q: length of the latus rectum of a hyperbola is equal to 18 and the di equation of the curve if the…

A: The length of the latus rectum = 18, The distance between the foci = 12, We have to find the…

Q: Determine the equation of the hyperbola with center (−1, –4), a focus at (−11, –4), and a vertex at…

Q: What is the equation of the standard hyperbola with vertices at(0, ±a) and foci at (0, ±c)?

A: Given- Hyperbola with vertices at (0, ±a) and foci at (0, ±c). To find- The standard equation of…

Q: Determine the equation of the hyperbola with center (−1, −6), a focus at (−1, −16), and a co-vertex…

Q: A pair of buildings on a college campus are shaped and positioned like a portion of branches of the…

Q: Find the standard form equation for a hyperbola with vertices at (5,0) and (−5,0), that passes…

Q: Find the vertices and asymptotes for the hyperbola defined by the following equatión: (x2/ 16 ) - (…

Q: Find a Cartesian equation for the hyperbola centered at the origin that has a focus at (3, 0) and…

A: The focus is 3,0 c,0=3,0∴c=3 Also the directrix x=ae=1 ∴a=e Now…

Q: The asymptote of the hyperbola given by x²/9- y²/4 = 1 has the equation?

Q: Consider the hyperboloid of two sheets of equation x23−y23−z22=1. Mark the alternative that…

A: Hyperboloid of two sheets has equation :- ax2 - by2 - cz2 = 1 comparing with above equation…

Q: Find an equation for the hyperbola that satisfies the given conditions. Vertices: (+1, 0),…

A: Consider the general form for the asymptotes is, y=k±bax-h Here, the center is (h,k)

Q: Find the eccentricity of the hyperbola whose transverse and conjugate axes are equal in length. O…

Q: 3. Find the standard equation for the hyperbola that has foci (0,±5) and vertices (0,±3).

Q: 4. Determine the equation of the upward asymptote o the hyperbola with the following equation: 16(x…

A: This question is related to asymptotes.

Q: Determine the standard form of equation of a hyperbola with center at (6,4), with a focus at (6, –…

Q: Find the standard form equation for a hyperbola with vertices at (5, 0) and ( – 5, 0), that passes…

Q: Which is the equation of a hyperbola with co-vertices at (0, 7) and (0, −7) and a transverse axis…

A: Ans (1) we have givenCo=Vertics of hyperbola (0,7) and (0,-7)⇒Compairing with co-vertice from (0, ±6…

Q: 2. Find the equation of the hyperbola whose asymptotes are perpendicular to the lines 5x – 4y +9 = 0…

Question

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Hyperbolas$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.