I. Find the equation in standard form of the specified hyperbola given the following conditions. 1.) Vertices: (8, 14), (8, -10); Conjugate axis is 6 units long

Q: Find the standard form of the equation of the hyperbola satisfying the given conditions, Foci: (-8,…

A: Foci are -8, 0, 8, 0 and vertices are -3, 0, 3, 0. Since the foci and vertices lies on x-axis, the…

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

A: The hyperbola with foci (-12,6), (6,6) and vertices (-10,6), (4,6)

Q: Find an equation for the hyperbola that satisfies the given conditions. Foci: (0, ±7), vertices: (0,…

A: We have to solve above hypobola question

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

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Q: What are the Vertex and Axis of Symmetry of the parabola in the diagram below?

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Q: Write the standardbform equation of the following hyperbolas. Vertices (4,-7) and (4,-1) foci (4,-8)…

A: Given: Vertices (4,-7) and (4,-1), and foci (4,-8) and (4, 0). To find: Equation of hyperbola.

Q: I. Find the equation in standard form of the specified hyperbola given the following conditions.

A:

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

A: Center of the hyperbola is 0, 0, vertices are ±4, 0 and passing through the point 8, 2. Now vertices…

Q: Draw the hyperbola with the equation: 3x2 − 2y2 + 6x − 8y = 6.

A: 3x2-2y2+6x-8y=6⇒3x2+6x-2y2+8y=6⇒3x2+2x-2y2+4y=6⇒3x2+2x+1-2y2+4y+4=6+3-8⇒3x+12-2y+22=1⇒x+1213-y+2212=…

Q: Find the center, vertices and foci of the hyperbola described by the following equation. (y – 1)² (x…

A: We have to solve the problem by putting the formula as per the question asked above.

Q: An architect designs two houses thath are designed and positioned like a part of the branches of the…

A: Given: 625y2-400x2=250000 We know that the general equation of a hyperbola is:

Q: Determine the coordinates of the foci of the hyperbola 9x² - 4y² - 90x + 189 = 0

A: The given equation of hyperbola          9 x^2 - 4 y^2 - 90 x + 189 = 0 ...............( 1)  First…

Q: Find the vertices and locate the foci for the following hyperbolas with the given equation: x2/25 -…

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Q: Draw the hyperbola with the equation: 3x2− 2y2+ 6x − 8y = 6.

A: the hyperbola

Q: 9. Find the equation of the parabola that had vertex at (4,-2) and focus at (6,-2)

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Q: What are the coordinates of the vertices of the hyperbola? (z+4) (y-5)? = 1 25 4 Enter your answer…

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Q: Graph the hyperbola 16x^2−32x−4y^2−24y−84=0, noting the center, vertices, cover-tices, and foci.

A: The given equation of hyperbola is 16x2-32x-4y2-24y-84=0. Convert the equation of hyperbola into its…

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

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Determine the equation of the hyperbola using the information given. vertices located at (3, 0),…

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

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

A: Given: The vertices of the hyperbola are: (1,3) and (1,-3) And the foci of the hyperbola are (1,5)…

Q: Find an equation for the hyperbola that satisfies the given conditions. Foci: (0, ±2), vertices: (0,…

A: We can use the concept of hyperbola in order to solve the given problem.

Q: I. Find the equation in standard form of the specified hyperbola given the following conditions. 2.)…

A: We will find the standard form of hyperbola Using given conditions as shown below

Q: The center of a hyperbola is (-3,2). The length of the conjugate axis is 8 units, and the length of…

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

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Q: Find the standard form of the equation of the hyperbola satisfying the given conditions as, Center:…

A: Center of the hyperbola is -2, 1, focus is -2, 6 and the vertex is -2, 4. Now the center is, h,…

Q: Determine the standard form of equation of a hyperbola with vertices at (2,3), (2, – 3) and passing…

A: Given problem:- Determine the standard form of equation of a hyperbola with vertices at (2,3), (2,…

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

A:

Q: Find an equation of the hyperbola (in general form) given the following conditions C(2, 5),…

A: Given : For a hyperbola Center C(2,5), Horizontal transverse axis of length 10 Conjugate axis of…

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: Find out whether the equation 9x2 +126x−16y2 −96y+153 = 0 represents a hyperbola. If it is a…

A: We first find the standard form by completing the square.…

Q: What are the foci and directrices of the following hyperbola?  36x^2 −49y^2 −100 = 0

A: We have to find the foci and directric of hyperbola

Q: 3. Plot and label the center, vertices and foci of the ellipse and hyperbola and parabola. a. 4x? +…

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Determine the Vertices and Foci of the Hyperbola 9x - 4y = 36 %3D and Sketch.

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Q: What are the vertex and the axis of symmetry of the parabola shown in the diagram below?

A: follow next step

Q: Consider the hyperbola of equation: (y – k)2 (x - h)2 1 a? 62 whose foci are (3, -1) and (3, 17),…

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Q: Find an equation for the hyperbola that satisfies the given conditions. Foci: (0, ±13), vertices:…

A: Given that, Foci: 0, ±13 Vertices: 0, ±4 This hyperbola is the type where the line drawn to its…

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

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: Determine the Vertices and Foci of the Hyperbola 9x - 4y = 36 and Sketch.

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Q: Find the vertices and locate the foci for the hyperbola whose equation is given. 64x2 - 49y2 = 3,136

A: To identify the vertices and the foci of the given hyperbola

Q: 10) Classify the graph of the equation as a circle, parabola, ellipse, or hyperbola: 4x2 + 25y2 +…

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Q: What are the vertex and the axis of symmetry of the parabola shown in the diagram below? y

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Q: What is the length of the transverse axis of the hyperbola whose foci are (0, -5) and (0,5) , and…

A: The foci of Hyperbola are:   (0, -5)  and  (0, 5). Length of transverse axis of Hyperbola is:  2a…

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

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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: What are the vertices, foci, and asymptotes of the hyperbola with the equation 16x²-4y² = 64?

A: Here, the given equation of the hyperbola is: 16x2-4y2=64⇒x24-y216=0⇒x222-y242=0 Comparing it with…

Q: What is the geometric interpretation of b/a in the equation of a hyperbola in standard position?

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

A: SOLUTION-