Exercises 53–54 give equations for hyperbolas and tell how many units up or down and to the right or left each hyperbola is to be shifted. Find an equation for the new hyperbola, and find the new center, foci, vertices, and asymptotes.  53. y2/3-x2=1 right 1, up 3 54. y2-x2=1 left 1, down 1

Q: 1 Find an equation of the hyperbola having foci at (3, –3 – /45) and (3, -3+/45) and asymptotes at y…

A: This question is related to conic section.

Q: A hyperbola has vertices (+5, 0) and one focus (6, 0). What is the standard-form equation of the…

A: Given vertices are 5,0 , -5,0 . And one focus is 6,0.  We have to write the standard form of the…

Q: Write the equation for the hyperbola with foci (–12, 6), (6, 6) and vertices (-10, 6), (4, 6). =1…

A:

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: Find the standard form of the equation of a hyperbola that has a center at (10,5), a focus at…

A:

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

A: Given that,

Q: 13. Write the equation of the hyperbola in vertex form that has a the following information:…

A: The vertices and Foci of the hyperbola are 9,12, 9,-18 and 9,-3+229),(9,-3-229 respectively. we have…

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: 19. Find the standard form of the equation of the hyperbola satisfying the conditions below. Foci:…

A: We have to find the standard form of the equation of the hyperbola satisfying the conditions below.…

Q: Which is the corresponding equation of a hyperbola with vertices at (11, 0) and (-11, 0) and…

A: We have to find the equation of hyperbola with vertices at 11,0 ,-11,0 and co-vertices 0,22 and…

Q: Write the equation of the hyperbola that has a center at (– 5, 3), a focus at (1, 3), and a vertex…

A: Given a hyperbola centered at -5,3, focus at 1,3 and vertex at 0,3. To find the equation of the…

Q: 2- Write the equation of hyperbola that pass through point (12, 9) and have F1 (0, 0) and F2 (0, 4)V

A: Consider the given information. y−k2a2−x−h2b2=1 Since we have the given foci at F1(0,0) and F2(0,4).…

Q: Write the standard form equation for a hyperbola with center at the origin, vertices at (1, 0) and…

A: Given:The center of the hyperbola is at the origin, vertices at (1,0) and (–1,0) and foci at (3,0)…

Q: Find the standard form equation for the hyperbola with vertices (0,12), (0,-12), and foci…

A: The Objective is to find the standard form of hyperbola

Q: 17. What is the center of the hyperbola whose equation is [(x+3)2 / 9] - [(y-3)2 / 16] = 1?

A: The given equation of the hyperbola is of the type [(x-h)²/a²]-[(y-k)²/b²]=1.

Q: 1 Find an equation of the hyperbola having foci at (3, – 3-/45) and (3, -3+/45) and asymptotes at y…

A:

Q: Write the equation of the hyperbola that has a center at (4, – 6), a focus at (0, – 6), and a vertex…

A:

Q: Find the length of a,b,c of the given hyperbola: x^2/4 - y^2/5=1

A:

Q: Write the standard form equation for a hyperbola with center at the origin, vertices at (0, 6) and…

A:

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

A:

Q: 4) FIND THE EQUATION OF A HYPERBOLA WITHA CENTER AT (2, 2), VERTICES AT (-1, 2) AND (5, 2), AND FOCI…

A: A hyperbola with a center at (2,2), vertices at (-1,2) and (5,2), foci at (-3,2) and (7,2).

Q: - 5), and a vertex at Write the equation of the hyperbola that has a center at (1, – 5), a focus at…

A: To Find: Equation of the hyperbola that has center at 1,-5, a focus at 6,-5,and vertex at 5,-5.…

Q: Find an equation for the conic that satisfies the given conditions. parabola, vertex (1, 2),…

A: Use equation of parabola and pass through point

Q: Find an equation for the conic that satisfies the given conditions. parabola, vertical axis, passing…

A: A parabola with vertices passing through 0,5,1,4, and -2,-5. Find the equation for the conic that…

Q: Find the standard form of the equation of the hyperbola satisfying the given conditions. Foci at (0,…

A:

Q: Find an equation for the conic that satisfies the given conditions. parabola, vertex (1, 2),…

A:

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

A:

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

A:

Q: What is the standard equation of the hyperbola with vertices (-2, 8), (8, 8 and focus (12,8)? (x –…

A: Let's find.

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

A: The objective of the question is determine the equation of the hyperbola and choose the correct…

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

A:

Q: 3. Find an equation that represents the hyperbola that has its center at (3, 5), a vertex at (3, 7),…

A: We want to find the equation of the hyperbola.

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

A: According to question given thatVertices: (1,0), (11,0)Foci:(0,0), (12,0)

Q: Given the following information about the hyperbola, find both its standard and general form. 1.…

A:

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

A: To find the standard form of the equation of the hyperbola.

Q: Write the equation of the hyperbola that has a center at (6, - 1), a focus at (11, – 1), and a…

A:

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

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

Q: Write the standard form equation for a hyperbola with center at the origin, vertices at (6, 0) and…

A:

Q: Write the standard form equation for a hyperbola with center at the origin, vertices at (0, 5) and…

A: If the transverse axis is parallel to the y-axis and centre origin then the equation of the…

Q: 2. Find the equation of the hyperbola with center at (2,3); a vertex at (4,3) and a focus at (-1,3).…

A: To find the equation of hyperbola.

Q: Find the standard form of the equation of a hyperbola given the following information. Vertices…

A:

Q: Find the equation for the hyperbola with center C (2, 4), foci F (2, 1)and F2 (2, 7), and vertices V…

A: Please see the answer in step 2

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

A:

Q: Find an equation for the hyperbola that satisfies the given condition. vertices at (0, +/- 2) and…

A: Explained below

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: The equation of the hyperbola whose foci are (0, 6) and (0,-4) and and one asym y-1= 2z is Select…

A:

Q: Vertices at (0, 4) and (0, -4); passes through (6, 5)

A:

Q: Vertices: (8, -1) and (-4, -1) Endpoints of Conjugate Axis: (2, 2) and (2, -4)

A: