1. Find the equation of the hyperbola with center at the origin, a vertex at (2,0) and a focus at (-3.0), Sketch its graph.

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

A: Given equation is  x=23y2-36

Q: 5) Find the vertex and axis of symmetry of the parabola with focus F(7/2,3) and directrix line…

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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: b) Sketch the parabola with the graph cuts the x-axis at (5,0) and (-5,0), the directrix line y = 4…

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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 an equation for the hyperbola whose transverse axis is horizontal, with center at (1, -5) and…

A: Given problem:- Find an equation for the hyperbola whose transverse axis is horizontal, with center…

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: 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: Find the standard form equation for a hyperbola with vertices at (3, 0) and (-3,0), that passes…

A: we have to find standard form of equation for a hyperbola with vertices (3, 0) and (-3, 0) and it…

Q: What is the equation for a parabola

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Q: Write the standard form equation for a hyperbola with center at the origin, vertices at (2, 0) and…

A: The hyperbola is centered at origin, vertices at (2,0) and (-2,0)and foci at (4,0) and (-4,0)

Q: Write the equation of a circle passing through the vertices of the hyperbola 4x2-9y2=36 and having a…

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