give equations for hyperbolas. Put each equation instandard form and find the hyperbola’s asymptotes. Then sketch thehyperbola. Include the asymptotes and foci in your sketch. 64x2 - 36y2 = 2304

Q: Convert the equation x2 - y2 - 2x - 4y - 4 = 0 to standard form by completing the square on x and y.…

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Q: Find the standard equation of the hyperbola one branch of which has focus and vertex that are the…

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Q: Determine whether the statement is true or false, "All points on the asymptotes of a hyperbola also…

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Q: Which graph shows the hyperbola given by the equation - GH - 1? %3D

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Q: Use the center, vertices, and asymptotes to graph the hyperbola. Locate the foci and find the…

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Q: • Put each equation in standard form and find the hyperbola's asymptotes. Then sketch the hyperbola.…

A: 1. Write the equation in the standard form as x2a2-y2b2=1. x212-y212=1

Q: For the parabola with focus at (1, -3) and vertex at (-3, -3), find: a) The equation of the parabola…

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Q: - Two hyperbolas that have the same set of asymptotes are called conjugate. Show that the hyperbolas…

A: Given that, Two hyperbolas that have same set of asymptotes are called conjugate. The given two…

Q: Put the equation in standard form and find the hyperbola’s asymptotes. Then sketch the hyperbola.…

A: The given equation of hyperbola is 8y2-2x2=16 thus the hyperbola is vertical hyperbola. The standard…

Q: Find the standard form of the equation of the hyperbola shown below. The standard form of the…

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Q: Put the equation in standard form and find the hyperbola’s asymptotes. Then sketch the hyperbola.…

A: Given :           The hyperbola y2 - x2 = 8.   To write the equation of hyperbola in standard form…

Q: Find the vertices, the foci, and the equations of the asymptotes of the hyperbola. Sketch its graph,…

A: Rewrite the equation in the standard form. y249−x216=1−x216+y249=1−x242+y272=1−x−h242+y−k272=1…

Q: Graph the hyperbola. Give the domain, range, center, vertices, foci, and equations of the…

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Q: Determine the equations of the asymptotes of the following hyperbola. You will need to rewrite the…

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Q: Graph the hyperbola by writing the equation in standard form. Label the center, vertices and sketch…

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Q: Find the vertices, asymptotes, and foci of a hyperbola with the equation (x+1)^2 - (y-3)^2 = 4.

A: To find the vertices, asymptotes, and foci of a hyperbola with the equation, x+12-y-32=4.

Q: Determine the standard form of an equation of a hyperbola with eccentricity 13/12and vertices (−2,…

A: Given:

Q: Graph the hyperbola x2/9 - y2 = 1. Give the location of the foci and the equations of the…

A: Given equation of hyperbola is x29-y2=1 The given hyperbola can be written as: x29-y21=1 Standard…

Q: Put the equation in standard form and find the hyperbola’s asymptotes. Then sketch the hyperbola.…

A: The standard form of hyperbola is given by: (x-h)2a2-(y-k)2b2=1 Here (h,k) is center of hyperbola.…

Q: find the equations of the asymptotes for each hyperbola. 25x2 - 16y2 = 50

A: Given: 25x2-16y2=50  ……1

Q: A hedge is to be constructed in the shape of a hyperbola near a fountain at the center of the yard.…

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Q: Graph the hyperbola. Locate the foci and find the equations of the asymptotes.

A: The equation of the hyperbola is given by x216-y2=1. The standard equation of the hyperbola is of…

Q: Put the equation in standard form and find the hyperbola’s asymptotes. Then sketch the hyperbola.…

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Q: Find the vertices, the foci, and the equations of the asymptotes of the hyperbola. Sketch its graph,…

A: The standard equation of the hyperbola is x-h2a2-y-k2b2=1, where a and b are the length of the axes…

Q: Given the hyperbola with the equation y – 9x? = -9, find the vertices, the foci, and the equations…

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Q: 5. (x+4)2 (y+3)2 = 1 9. 16 Center: Vertices: Foci:

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Use the center, vertices, and asymptotes to graph the hyperbola (y - 2)2/36 - (x + 1)2/49 = 1.…

A: Given that: The equation of the hyperbola is y-2236- x+1249 = 1 .

Q: Graph the hyperbola. Locate the foci and find the equations of the asymptotes.

A: Given the hyperbola equation is (vertical hyperbola)y216-x2 =1  Here…

Q: Write the standard form equation for a hyperbola with center at the origin, vertices at -4), and…

A: Here we have to find the standard form equation for a hyperbola with center at origin, vertices at…

Q: Find the vertices, the foci, and the equations of the asymptotes of the hyperbola. Sketch its graph,…

A: Given :                The equation has the form                           x21 - y224 = 1…

Q: Find the vertices, the foci, and the equations of the asymptotes of the hyperbola. Sketch its graph,…

A: Consider the provided equation, y2-4x2=16 Find the vertices, the foci, and the equations of the…

Q: Graph the hyperbola 4x2 - 49y2 = 196. Give the location of the foci and the equations of the…

A: Definition used -                   For a hyperbola-                          (x-h)2a2-(y-k)2b2=1…

Q: Use the center, vertices, and asymptotes to graph the hyperbola (x - 3)2 - 4(y + 3)2 = 4. Locate the…

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

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Q: Which equation gives the standard form of hyperbola, given the center at the origin, vertices at…

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Q: If the graph is an ellipse, find the center, foci, and vertices. If it is a parabola, find the…

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Q: A solar collector for heating water is constructed with a sheet of stainless steel that is formed…

A: Given:     Assume that the vertex is at the origin.   And consider the equation of a parabola…

Q: Graph the hyperbola. Give the location of the foci and the equations of the asymptotes.

A: Given equation of hyperbola is x29-y2=1. To find: The foci and the equations of asymptotes. Also, to…

Q: Graph the hyperbola y2/9 - x2 = 1. Give the location of the foci and the equations of the asymptotes

A: Equation of hyperbola  y2a2-x2b2=1           ...(1) Then foci = 0,±c, where c=a2+b2 Equation of…

Q: Write an equation for the hyperbola that has foci at (0, 185) and (0, - v85), and asymptotes y = ±…

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Q: Find the Vertices, Foci and the Equations of the Asymptotes of the Hyperbola whose Equation is x?–…

A: (7) Rearrange the equation in the general form of hyperbola and determine the vertices for the…

Q: Put the equation in standard form and find the hyperbola's asymptotes and foci. Then sketch the…

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Q: Use the center, vertices, and asymptotes to graph the hyperbola. Locate the foci and find the…

A: Given equation is x+3225-y216=1. To graph the hyperbola using center, vertices and asymptotes.…

Q: Find an equation for the hyperbola described, Graph the equation. Center at (5,-6); focus at (9,-6):…

A: To find the equation of the hyperbola and to graph the equation. Given - Center at (5,-6) ; focus at…

Q: Use the center, vertices, and asymptotes to graph the hyperbola (x + 3)2 - 9(y - 4)2 = 9. Locate the…

A: We can write again equation of hyperbola x+3232-y-4212=1 Since the x- part is added, it is…

Q: . Find the Vertices, Foci and the Equations of the Asymptotes of the Hyperbola whose Equation is x?…

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