Find an equation for the hyperbola whose transverse axis is horizontal, with center at (1, -5) and passes through the points (8, 0) and (-1, -5).

Q: Nhat is the equation of the parabola containing the points (2, 2), (4,-8), and (-2, –14)? O y = - 4x…

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Q: The focus of the parabola y^2 = 4x is at

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Q: A parabola of y=x^2 has been regraphed and now sits with each side plotted at (-3,5) and (3,5) and…

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Q: Consider the parabola y=ax^2+bx+c, where a, b, and c are constants. (a) Determine the vertex form…

A: (a) Vertex Form of the Parabola:The vertex form of the parabola  is:where (h, k) is the vertex of…

Q: use the method of completeing the sqaure to find the vertex of the parabola whose equation is…

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Q: Find the focus and directrix of the parabola with the equation 6y^2+10x=0. Then choose the correct…

A: Given that, the equation of the parabola is 6y2+10x=0 6y2+10x=06y2=-10xy2=-10x6y2=-4512x Compare the…

Q: Find the equation of the parabola with vertex at (2,-1), axis is parallel to the y-axis and passing…

A: Equation of parabola parallel to y axis is given by as: (x-h)²= 4a(y-k)

Q: 66. One parabola at the right has the equation y-&-4)+ 2. Which equation represents the second…

A: Solution is given as below:

Q: Can you do a parabola with the starting point being (0,0)

A: Given a parabola with equation y=x2

Q: 9. The endpoints of the latus rectum of the parabola (y + 2)2 A. (-1,0) and (-1,–4) B. (1,0) and (1,…

A: A lotuc rectum of a parabola isbthe chord that passes through the focus,is perpendicular to the…

Q: Write an equation of a parabola that satisfies each set of conditions. a) opens upward, congruent…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: For the hyperbola given by (9x^2)- (4y^2) -36x -24y - 36 = 0, find the distance between its…

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Q: write in standard form of equation vertex hyperbola with (− 1, 2) center and  focus (− 3 (,−2)3, +…

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Q: Find the standard equation of the hyperbola that satisfies the conditions Center (0 ,5), one corner…

A: The equation of hyperbola with center ( h , k ) and the conjugate axis, vertical is as follows.…

Q: Let there be two parabolas y^2 = 4ax and y^2 = -4bx (where a not equal to  b and a, b > 0). Then…

A: Let us consider that the line parallel to the common axis be y=h.then the co ordinates of A and B…

Q: Determine the standard equation of the parabola opening upward, with focus at (0,6) and whose length…

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Q: Find the equation of the hyperbola with foci (-2, 2) and (4, 2) that passes through (3, 2).

A: To find the equation of the hyperbola, we first need to determine its center.The center of a…

Q: equation

A: Please refer to the image below

Q: Find the equation of the parabola y = ao + a₁ + a2x² that passes through the points (-1 -9), (0,…

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