Find the vertices and asymptotes for the hyperbola defined by the following equatión: (x2/ 16 ) - ( y² / 25 ) = 1 Your work must show a sketch of the hyperbola. Report below the vertices as coordinate points and the asymptote as a simplified equation.

Q: Find equations for the asymptotes to the hyperbola described by 49x² – 25y² – 294x – 100y : 884.

A:

Q: Find an equation of the hyperbola satisfying the indicated properties.

A: Given :              Focus = 26, 0              Asymptote lines:…

Q: Write an equation for the hyperbola that has foci at (0,1113) and (0,- 113), and asymptotes y = +…

A:

Q: Find the standard form of the equation of th parabola with: and Focus (-2, 6) Directrix X = 8

A:

Q: What is the equation of the parabola with vertex at (0, 0) and directrix y = -8 in standard form?…

A: Given that, vertex of parabola is (h, k) = (0, 0) diretrix of parabola is, y = -8 We have to find…

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: Find the center, foci, vertices, and eccentricity of the hyperbola, and sketch its graph using…

A: given,

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

A: A hyperbola has two curves that do not touch each other.  A hyperbola is a curve whose equation is…

Q: Find the equation the hyperbola with vertices (0, +2) and asymptotes y = ±3x.

A:

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

A: equation of parabola:-

Q: The equation of the asymptote having a positive slope to the shown hyperbola is

A: The given graph of hyperbola,

Q: Find the standard form of the equation of the hyperbola with the given characteristics. Foci: (±10,…

A:

Q: Find the equation of the hyperbola having center at the origin with transverse axis on the x-axis,…

A: Given-  Hyperbola having center at the origin with transverse axis on the x-axis, a=4, and latus…

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

A:

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

A: Given:Vertex=0,0Directrix y=-3Equation of parabola:x-h2=4py-k

Q: Write an equation for the hyperbola that has foci at (0, 65) and (0, - 65), and asymptotes y = ±8x.

A:

Q: Find the standard form of the equation of the hyperbola with the given characteristics. Foci: (+10,…

A: Given

Q: Find the equation for the parabola that has its vertex at the origin and the focal point is 278…

A: Consider the equation of parabola vertex at origin and focus to the right of directrix. y2=4ax…

Q: What is the equation of a hyperbola with major axis parallel to the y – axis?

A: The standard form of the equation of a hyperbola with center (h, k) and transverse(major) axis…

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: What are the equations of the asymptotes of a standard hyperbola with vertices on the x-axis?

A: Find the equations of the asymptotes of a standard hyperbola with vertices on the x-axis.

Q: Find the equation for the parabola that has its vertex at the 1 origin and has directrix at y 41…

A:

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: Determine the equation of a hyperbola with foci (0, c) and with asymptotes perpendicular to each…

A: if(y-k)2a2-(x-h)2b2=1then,center:(h,k)foci:(h,k±c)slope of the asymptotes:±ab and,a2+b2=c2

Q: A parabola has an equation of y² = 4x. Find the nearest distance from the point (-3, 6) to the %3D…

A:

Q: Find the equation of a hyperbola whose asymptotes are perpendicular.

A: We have to find the equation of the hyperbola whose asymptotes are perpendicular. We know the…

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

A:

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

A:

Q: Find the standard form of the equation of the hyperbola with the given characteristics. Foci: (±10,…

A:

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

A: Here we find the equation of parabola.

Q: Find the center, foci, vertices, and eccentricity of the hyperbola                                y2…

A: y2−16x2+64x−208=0⇒y2−16x2+64x−64-144=0⇒y2−16x2-4x+4=144⇒y2−16x-22=144⇒y2144−16x-22144=144144⇒y-02122…

Q: Sketch parabola y = x2 – 10x + 16 by plotting a few points to left and right of the vertex. (Find…

A: Given parabola y=x2-10x+16                  ....(1)

Q: Find the standard equation of the hyperbola that satisfies the conditions.

A:

Q: find the equation of a hyperbola

A: Given: The asymptotes y=±53x and vertices (-6, 0), (6, 0) To find: The equation of a hyperbola.

Q: Find the center, foci, and vertices of the hyperbola and sketch its graph using asymptotes as an…

A:

Q: Betty was asked to write the equation of the hyperbola with asymptotes y = +x and x-intercepts…

A: Definition used -               Equations of the asymptotes of the hyperbola are-…

Q: Find the standard form of the equation of the hyperbola with the given characteristics. Foci: (+10,…

A:

Q: Why is distance between vertices for hyperbola equal to 2a?

A:

Q: What is the equation of the parabola with a vertex at (4.8) and a directrix at y = 53

A: This is a simple question based on conic section (Topic is parabola) before attempting this question…

Q: 1 Foci (10, 0) and (-10, 0), asymptotes У — —х

A:

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: what is the equation of a hyperbola with major axis parallel to the y axis?

A: Equation of hyperbola

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

A:

Q: What is the eccentricity of a hyperbola if the asymptotes are perpendicular?

A: Given:Asymptotes of the hyperbola are perpendicular.

Q: Find an equation for the hyperbola that satisfies the given conditions. Foci: (0, +9), asymptotes: =…

A: Given foci (0,±9) , asymptotes y=±12x let’s find an equation of hyperbola