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

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

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

A: Given equation is  x=23y2-36

Q: Write the equation of a hyperbola with center at the origin, passing though (±4,0) with no…

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Q: 5 Find an equation of the hyperbola having foci at (-2, - 3-/29) and (-2, – 3+ /29) and asymptotes…

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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: (r- 13) = 10 (y – 11)

A: Let us plot the above equation.

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: Find the equation of a hyperbola whose asymptotes are perpendicular.

A: We have to find the equation of the hyperbola whose asymptotes are perpendicular. We know the…

Q: The vertex of the parabola given by the equation x² = 20 y is O A. (0,0) В. (4,5) С. (0,5) D. (4,0)

A: Here we have given that the parabola is x2=20y

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: 1. For the parabola equation: (y-2) = -3(x+4)^2 + 7, in which direction does the parabola open? *

A: We have to find the direction in which the given parabola opens.

Q: What is the effect on the graph of a parabola if it's equation in standard form has increasing value…

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