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

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Q: Suppose a and b are positive numbers. Sketch the parabolas y2 = 4a2 - 4ax      and         y2 = 4b2…

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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: Write the equation of a parabola in standard form from the given information Vertex at (2, -2)…

A: Vertex of the parabola is at 2, -2 and focus at 2, -3. Now vertex is, h, k=2, -2⇒h=2  &  k=-2…

Q: Find an equation of the parabola with vertex (5,-5) and directrix y=-3   .

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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: 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: Find an equation of the parabola with vertex (-5,-4) and directrx y =-11,

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A: Let's find standard equation of a parabola.

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

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