Find the equation of a hyperbola with vertices at (-2,5) and (6,5) and focus at (8,5)

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 the standard equation of the hyperbola which satisfies the given condition: Foci (-4,-3) and…

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Q: Which of the following equations represents a parabola with vertex (5,2) and directrix y = - 2? (А)…

A: Let's find equation of parabola.

Q: What are the vertices of the hyperbola whose equation is: * 9x² -4y² +72x + 108 = 0 (-1,0) and…

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Q: Find the equation of the hyperbola with vertices (-7,3) and (1, 3) and foci (-11, 3) and (5,3).…

A: Vertices   -7,3 and     (1,3)Foci                -11,3     and   5,3

Q: Find the equation of the hyperbola given its graph below and one end of the focus at (-3 + VT3, 6)…

A: Here we have to find the equation of the hyperbola by using the given graph and one end focus at…

Q: Find the location of the center, vertices, and foci for the hyperbola described by the equation.…

A: Properties of Hyperbolas Solution:

Q: The vertex of the parabola with focus (-2,-4) and directrix y - 4 is o (1,-4) 0 (-2,1) O (0,-4) O…

A: Given,drectrix of parabola is y=4,And focus is at (-2,-4)It is clear that parabola is open down,and…

Q: Determine the equations of the asymptotes for the hyperbola: +5²_ (x + 2)² =1 9 =-=-*- , y = x = -2;…

A: The given equation of hyperbola is; (y + 5)2/4 - (x+ 2)2/9 = 1Find the asymptotes.

Q: What is the equation of the parabola with axis parallel to the x-axis, whose vertex is at (-1,7) and…

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Q: What are the coordinates of the vertices of the hyperbola whose equation is given by 4y2 – x² = 4? A…

A: The given hyperbola equation,        4y2-x2=4

Q: Determine the equation of the hyperbola of focuses (1,-1) and (1,3) and one of the vertices (1,2).

A: If we plot the focuses and the given vertices we get that the equation of the line passing through…

Q: Find the equation , in standard form, of the parabola with the specified features.   Find the…

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Q: Which of the following could be an equation for the hyperbola shown? O (y-5)? (x+4)² a? =1 O (x+4)?_…

A: Given-  To find- Which of the above following is the equation of hyperbola.

Q: 9. Find the equation of the hyperbola, in standard form, with vertex (2,-5), focus (-1,-5) and…

A: The vertex is (2, -5), focus is (-1 -5) and the center is (5, -5). Observe that the y coordinate of…

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 ellipse equation with foci (0, 2) and (0, 6) and major axis vertices (0, 0) and (0, 8).

A: We can find the ellipse equation as below.

Q: Arrange the parabolas represented by the equations according to the positions of their foci on the…

A: The standard form of a parabola is  (x – h)2 = a(y – k) where (h, k) is the vertex.

Q: equation

A: Please refer to the image below

Q: y=-2(x + 5)² y = -2(x - 5)² y = 2(x - 5)² is the equation of the parabola with vertex (0,4) and…

A: Topic:- geometry and parabola