3) Find the and directix f vertex, 7ocus. parabola y-x²+4x=8) the

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A: We have to find the vertices and foci of the given hyperbola.

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A: Topic:- application of geometry

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A: The parabola has vertex -5,-9 and directrix y=-13

Q: 9. Sketch the parabola y =-x +8x-12, show all the intercepts, the axis symmetry and the vertex

A:

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A: Given that :

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A: Answer

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A: Use basic concept of hyperbola

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Q: What is the equation of the parabola which has vertex (1,2) and y-intercept y = 1?

A: See the details solution in below

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A: A detailed solution is given below

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Q: Which quadric surfaces have both hyperbolas and parabolas as traces?

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Q: Which graph corresponds to an ellipse with foci located at ((2+2√5), 6) and ((2−2√5), 6) and the…

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Q: The standard form of the equation of the parabola with vertex (-2, 5) and point (0, 9) is: = (x +…

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Q: length of the latus rectum of a hyperbola is equal to 18 and the di equation of the curve if the…

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Q: 20. Parabolas with vertex and focus on the x-axis.

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

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A:

Q: 8.) Parabolas having their vertices at the origin and their foci on the y-axis

A: This is a differential equation problem

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Q: I llustiate and Sketch the equation of parabola ?f vertex

A: General equation of parabola is of form y2=4ax or x2=4ay

Q: Why is distance between vertices for hyperbola equal to 2a?

A:

Q: 2. A parabola with axis parallel to the x-axis and passing through (5,4), (11, –2) and (21, –4)

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: What are the vertex and the axis of symmetry of the parabola shown in the diagram below?

A: follow next step

Q: Find an equation of the hyperbola having foci at (-2, 6) and (-2, 12) and vertices at (-2, 8) (-2,…

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Q: Find the DE of parabolas with vertex and focus on the x-axis.

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Q: A cable durpended between two Do po has a Jag of 1. 20 meters apart a form of a parabola, find its…

A: The distance between the pole = 20 m and the sag of 112 m=32 m. We have to find the equation of the…

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 9 − x…

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Q: Find an equation of the parabola with vertex (4,2) and directrix x=-1

A: Find the equation of parabola:

Q: Find an equation of the hyperbola having foci at (4, – 11) and (4, 11) and vertices at (4, -3) and…

A: the coordinates of the vertices are  (h , k±a)(4, -3), (4, 3)k+a=-3,…

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 9 –…

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Q: Find the standard form of the equation of the parabola with the given characteristics. vertex: (4,…

A: vertex (4,16) points on the parabola (0,0) and (8,0) vertex form= a(x-h)2+k Standard form= ax2+bx+c