A graph that was not shown in this section is the hyperboloid of one sheet, described by the equation x2 + y2 - z2 = 1. Describe it as completely as you can.

Q: Sketch the graph of the hyperbola 4x2 − y2 = 16.

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Q: Describe the part of a hyperbola given by the equation.

A: Given equation is  x=23y2-36

Q: 14- 5y'+ 8x + 30y - 54 = 0

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Q: Classify the graph of the equation 9x2 + 9y2 − 36x + 6y + 34 = 0 as a circle, a parabola, an…

A: Since the coefficients of x2 and y2 are the same and are of the same sign too. So this given…

Q: Find the general equation of the hyperbola with vertices (2, 0) and (-2, 0) and focus (-4, 0)

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Q: Find a function whose graph is the lower half of the hyperboloid -x2 - y2 + z2 = 1.

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Q: Find the foci of the hyperbola. 2 -4x+y-16x- 32 = 0

A: We have to find the foci of the hyperbola.…

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

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Q: Find an equation for the hyperbola that satisfies the given conditions. Foci: (+5, 0), vertices:…

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Q: Find the equation of a hyperbola that has vertices at (2,0) and (2,-6) and the asymptotes are…

A: Given: Vertices of the hyperbola are at 2,0 and 2,-6 and asymptotes are y=32x-6 and y=-32x, To find:…

Q: Graph a hyperbola that opens in the x direction and is centered at at (-2, 1).

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Q: The circle, the ellipse, the hyperbola, and the parabola are categories of _____ sections.

A: The intersection of a plane and a double napped cone is known as conic sections.If the set if…

Q: Foci at (0,5) and (0,-5) and a vertex at (0,4)

A: Vertex is at (0,4) Focus is at (0,5) and (0,-5) . Its lies on the y axis So its a vertical hyperbola…

Q: Find the equation for the graph of the hyperbola with vertices at (4,0) and (-4,0) and one focu at…

A: Given: Vertex : 4, 0 and -4, 0Focus : -6, 0 We need to find the equation of the hyperbola. The…

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

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: =D1 4 = 1{-5<x<5}

A: Given equation is The equation of given hyperbola is horizontal hyperbola

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

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

A: Foci are 0, -3 &amp; 0, 3 and vertices are 0, -1 &amp; 0, 1. Since foci and vertices are on the…

Q: Find the equation of the hyperbola with vertices at (- 2, 0) and (2, 0) and a focus at (4, 0)

A: Given the hyperbola with vertices at (- 2, 0) and (2, 0) and a focus at (4, 0)

Q: Sketch the graph and find the foci of the given hyperbola a. 25y2-4x2=16

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Q: Graph the parabola with a focus of ( – 2, 1), a directrix of y = 7, and goes through the point (4,…

A: We have to find the equation of parabola.

Q: Find the equation of the hyperbola with a vertex at (4,3), a focus at (6,3) and the center at (2,3).

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Q: Given the graph of the hyperbola choose its only correct implict equation below. 8 (-2, 6) 6. (2, 6)…

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Q: State the vertices of the hyperbola. x² _ y² 1 4 25 (x, y) (smaller x-value) (х, у) %3D (larger…

A: We will solve the following.

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

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

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Q: Describe the part of a hyperbola given by the equation.

A: The standard form of equation of hyperbola having center at (0,0) and major axis on x axis is given…

Q: 15. 20y - 3 - 40y + 12x = 52

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Q: Find the equation of a hyperbola whose center is at (0,0), one focus at (5,0) and the distance…

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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: Graph the hyperbola given by ײ - y² - 72x – 4y +131 - 0.

A: We will graph the hyperbola as shown below

Q: Write the equation of a circle passing through the vertices of the hyperbola 4x2-9y2=36 and having a…

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Q: Find an equation for the hyperbola that satisfies the given conditions. Foci: (+11, 0), vertices:…

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Q: Find an equation for the hyperbola whose transverse axis is horizontal, with center at (2, -2) and…

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Q: Which of the following parabolas match the following graph below?

A: Given,            The graph of the parabola is shown below :

Q: Find an equation for the hyperbola that has vertices  (±3,0) and asymptotes  y=±5x.

A: Given query is to find the equation of the Hyperbola.

Q: Find the equation of the hyperbola. Foci at (3, 6) and (7, 6), and vertex at (6, 6)

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Q: A sound receiving dish used at outdoor sporting events is constructed in the shape of a paraboloid,…

A: Given: A sound receiving dish used at outdoor sporting events is constructed in theshape of a…

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

A: Explained below

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

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

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Q: Find an equation for the hyperbola whose transverse axiS is horizontal, with center at (6, -3) and…

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Q: Sketch the graph and find the foci of the given hyperbola a. 4x2-9y2=36

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Q: Sketch the graph and find the foci of the given hyperbola 25y2-4x2=100

A: SOLUTION-

Q: The focus of a parabola is (-3,5) and the directrix is y = -1. Which equation represents a parabola…

A: Given: the focus of a parabola -3,5 and the directrix is y=-1 Formula: Distance between point x,y on…