Q4: Find the equation of the hyperbola and sketch the graphs with vertices(0,a8) and asymptotes y= +-x

Q: What is the equation of the parabola with vertex at (0, 0) and directrix y = -8 in standard form?…

A: Given that, vertex of parabola is (h, k) = (0, 0) diretrix of parabola is, y = -8 We have to find…

Q: Find an equation of the parabola with vertex (-1, 3) and directrix y = -3. ローロ

A: Topic:- parabola equation

Q: Q4: Find the equation of the hyperbola and sketch the graphs with vertices(0,±8) and asymptotes y=…

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Q: y² For the hyperbola = 1, the asymptotes are 81 16 and

A: we have to fill in the blanks: For the hyperbola y216-x281=1, the assymptotes are ________ and…

Q: The equation of the asymptote having a positive slope to the shown hyperbola is

A: The given graph of hyperbola,

Q: 3. Write an equation for the parabola with vertex at (2, 3), opening upward, and with no vertical…

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Q: Graph the hyperbola y2 - 4x2 = 16. Give the location of the foci and the equations of the…

A: Given: y2 - 4x2 = 16.

Q: Find the equation of the parabola with vertex (2, 4) and directrix x = –3

A: Given: Vertex (2,4)

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

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Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

A: First we have to calculate distance from directix to vertex. I.e P Then insert values of center and…

Q: Find the general equation of the parabola with vertex at the origin and focus at (-4, 0)

A: The general equation of a parabola with vertex (h,k) is (y-k)2=4a(x-h)

Q: Use a graphing utility to graph x2/4 - y2/9 = 0. Is the graph a hyperbola? In general, what is the…

A: The given equation is x24-y29=0. Sketch the graph of the above equation as shown below.

Q: Use vertices and asymptotes to graph the hyperbola x2/9 - y2/25 = 1. Locate the foci and find the…

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Q: Graph the hyperbola x2/9 - y2 = 1. Give the location of the foci and the equations of the…

A: Given equation of hyperbola is x29-y2=1 The given hyperbola can be written as: x29-y21=1 Standard…

Q: 4. Find the standard equation of the hyperbola with the same vertices as the vertices of the ellipse…

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Q: Find an equation of the parabola with vertex (-1,3) and directrix y=7 .

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Q: Sketch the graph of the hyperbola, showing the vertices, foci and asymptotes. y² – 16x² = 16

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Q: Find an equation of the parabola with vertex (-5, 2) and directrix y =-2. D=0 ?

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Q: Find an equation for the hyperbola whose graph is below. Q 40

A: As we know that the center of the horizontal hyperbola is the midpoint of the vertices of the…

Q: find the equation of the parabola with the given properties. Vertex (0, 0), directrix y = −5

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Q: Find the equation of the hyperbola with latus rectum 1, slope of asymptotes ±1/2. Draw the curve.

A: To find the equation of the hyperbola with latus rectus 1, the slope of asymptotes ±12.

Q: Find an equation of the parabola with vertex (3, 4) and directrix y = 1.

A: Graph of parabola :

Q: Use vertices and asymptotes to graph the hyperbola y2/16 - x2/36 = 1. Locate the foci and find the…

A: Given:y216-x236=1Standard form of hyperbola:y-k2a2-x-h2b2=1Vertices:  h, k±aFoci h, k±c

Q: Find the equation of the parabola with vertex V (5,5) and directix the y-axis.

A: we have to find the equation of parabola

Q: Find an equation for the hyperbola that has its center at the origin and satisfies the given…

A: Consider the provided information, The x intercepts is ±5 and asymptotes y=±2x. Find an equation for…

Q: Find an equation of the parabola with vertex (2, 2) and directrix x = 8. 00 0=0 X Ś ?

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Q: Graph the hyperbola y2 - 4x2 = 16. Give the location of the foci and the equations of the asymptotes

A: Concept: The hyperbola y2a2-x2b2=1 has foci at 0,±c, where c2=a2+b2, and vertices at 0,±a And the…

Q: Find an equation of the parabola with vertex (−4, −2) and directrix y=−7.

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Q: The foci of the hyperbola are (0, -10) and (0, 20), and the asymptotes are y = 3/4x + 5 and y = -3/4…

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Q: find the general equation of the parabola with horizontal axis which crosses the x-axis at x=2 and…

A: To find the general equation of the parabola with horizontal axis which crosses the x‐axis at x=2,…

Q: Find the center, foci, and vertices of the hyperbola and sketch its graph using asymptotes as an…

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Q: A hedge is to be constructed in the shape of a hyperbola near a fountain at the center of the yard.…

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Q: Find the equation of the hyperbola with latus rectum 1, slope of asymptotes  ± ½. Draw the curve

A: Given that the latus rectum of hyperbola is 1 and slope of asymptotes are ±12. The standard equation…

Q: The hyperbola with asymptotes having the equations y=3/2x and and y= -3/2x and one vertex at (2, 0)…

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Q: Graph the hyperbola x2 - y2 - 2x - 2y - 1 = 0. Locate the foci and find the equations of the…

A: The equation of hyperbola is x2-y2-2x-2y-1=0 To locate the foci and find the equations of the…

Q: 4) Find the vertex of the parabola y=-3 x-2 x +7 and sketch its graph.

A: Given y =-3x2 -2x+7    We have to find the vertex of parabola and sketch its graph

Q: What are the equations of the asymptotes of the hyperbola? (z+1)* _ y-3}° (v-3)? 16 25 Enter your…

A: The equation of the given Hyperbola is: (x+1)225-(y-3)216=1

Q: Graph the hyperbola y2/9 - x2 = 1. Give the location of the foci and the equations of the asymptotes

A: Equation of hyperbola  y2a2-x2b2=1           ...(1) Then foci = 0,±c, where c=a2+b2 Equation of…

Q: Find an equation of the parabola with vertex (5, – 1) and directrix y = -4.

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Q: Find an equation for the hyperbola that has its center at the origin and satisfies the given…

A: The hyperbola has y-intercepts, so it has a vertical transverse axis. The standard form of the…

Q: Find the vertices, foci, and asymptotes of the hyperbola - X 16 = 1. (Enter your asymptotes as a…

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Q: Find the equation of the hyperbola whose asymptotes are y = 2x and y=-2x which passes thru (5/2, 3).

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Q: Find the equation of the upward asymptote of the hyperbola whose equation is (x - 2)² (y+4)² 9 16 =…

A: Given equation of hyperbola (x-2)29-(y+4)216=1That is (x-2)232-(y-(-4))242=1copare with…

Q: find the equations of the asymptotes for each hyperbola. y2 - 16x2 = 36

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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: Graph the hyperbola y2 - 4y - 4x2 + 8x - 4 = 0. Locate the foci and find the equations of the…

A: To graph the given hyperbola                y2 - 4y - 4x2 + 8x - 4 = 0 To locate the foci and find…