Determine the equation of a hyperbola having foci (0, +4) and asymptotes y =

Q: Find the standard equation of the hyperbola. Two corners of auxiliary rectangle at (−4 ,−7) and (0…

A: Given: The two corners of the auxiliary rectangle of a hyperbola are at -4,-7 and 0,0 and transverse…

Q: Find an equation of the hyperbola (in general form) given the following conditions: 12. Foci (10, 0)…

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Q: Find an equation for parabola with vertex  (−1,3) and directrix x=−4.

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

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Q: find the equation of hyperbola with center (4,-1), transverse axis parallel to the y axis distance…

A: Given: A hyperbola with center 4, -1 , whose transverse axis is parallel to the y-axis. The…

Q: Find an equation of the hyperbola that has foci at (-13,0) and (13,0), and asymptotes y=3/2x and…

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

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

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Q: Determine the eccentricity of a hyperbola with a vertical transverse axis of length 48 units and…

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

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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,…

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Q: Find the equation (in Graphing Form) of the hyperbola with Foci (-9,2) and (1,2) and 8 as the…

A: Equation of a hyperbola with centre (a',b') and length of transverse axis as 2a units, and , length…

Q: Find the equation of the parabola with vertex (2, 4) and directrix x = –3

A: Given: Vertex (2,4)

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

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Q: Find the equation of a parabola having directrix y = -5.

A: if given equation of the directrix y= -a then equation of the parabola is  x^2 = 4ay

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

A: Given

Q: Find the equation of the parabola with directrix x + 1 = 0, axis y = 2, and latus rectum 3.

A: Given :          The equation of directrix of the parabola is x + 1 = 0          The length of the…

Q: Find the standard form of the equation of the parabola with the given characteristics Vertex: (0, 5)…

A: Given vertex and directrix are (0, 5) and y= -3. The equation of parabola is x-h2=4py-k where (h, k)…

Q: Find the equation of the hyperbola with vertex (-4, 0) and foci at (-5, 0) and (1, 0).

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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

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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: Find an equation of the parabola with vertex (3, 4) and directrix y = 1.

A: Graph of parabola :

Q: Find the equation of the Hyperbola with asymptotes y=±2x and a vertex at (0, 10)

A: Given, The asymptotes of the hyperbola is  y=2x  and   y=-2x  and vertex at 0, 10 We have to find…

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

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Q: Find an equation of the parabola with vertex (−4, −2) and directrix y=−7.

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

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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 equation of the hyperbola whose center is at point (4,−1), transverse axis parallel to…

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

A: here we have to find the equation of hyperbola that has foci  at (-15,0) and (15,0) asymptotes…

Q: Espar Find an equation of the hyperbola having foci at (-2,-V40) and (-2, 40) and asymptotes at y3 1…

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Q: Find an equation of the parabola in standard form with focus at (3,0) and directrix x=-3

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Q: Find an equation of the hyperbola with vertices at (±5, 0) and foci (±10, 0)

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Q: oci (-3, 1) and (7, 1),

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Q: Find the equation of the parabola with directrix x + 1 = 0, axis y = 2, and latus rectum 2.

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Q: Find the standard form of the equation of the parabola with the given characteristic and vertex at…

A: equation of parabola  (x - h)2 = 4p (y - k) where (h,k)=(0,0) vertex ordinates directrix y=3 , y= k…

Q: Find the equation of a Hyperbola which has the Vertices at (+2, 0) and Foci at (+4, 0). Form the…

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Q: Find an equation of the parabola with vertex (5, – 1) and directrix y = -4.

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Q: Find the equation of the hyperbola with center at (-3,3); transverse axis parallel to y-axis; length…

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Q: Find the standard form of the equation of the hyperbola with the given characteristics. 4 Foci: (-2,…

A: We have to find the standard form of the equation of the hyperbola.

Q: Find the equation of the parabola that is symmetric about y axis with vertex at the origin and…

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Q: Find the equation of a parabola that has focus at (-4,0) and directrix 2

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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