Graph the hyperbola, (x - 2)2/25 - (y + 3)2/16 = 1. Locate the foci and find the equations of the asymptotes.

Q: Find equations for the asymptotes to the hyperbola described by 49x² – 25y² – 294x – 100y : 884.

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Q: Find an equation of the parabola with vertex (-5, -5) and directrix y = -11. D=0 ?

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

A: Given that : The equation of the hyperbola is y 2 - 4y - 4 x 2 + 8x - 4 = 0.

Q: Which is the standard equation of the hyperbola centered at the origin, with a vertical transverse…

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

A: Given, The equation of hyperbola is  x2 - y2 - 2x - 2y - 1 = 0,

Q: solve for the focus of the parabola 8y = -x2 + 4x + 36

A: Solution:-     As we know,           The equation of a parabola in a vertex form is…

Q: Find the equation of the parabola with vertex at the origin and focus F (0, 5)

A: General equation of parabola with vertex at origin and focus on y axis is x^2= 4ay.

Q: Determine the equation of the hyperbola, h(x).

A: Equation of hyperbola: The equation of hyperbola center at (h, k) and semi-axis a=b=2A is given by,…

Q: Graph the hyperbola by writing the equation in standard form. Label the center, vertices and sketch…

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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.

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A: Given: y216-x281=1 To find the asymptotoe

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 the center, vertices, and asymptotes to graph the hyperbola (x + 3)2/25 -y2/16 = 1. Locate the…

A: Given: x+3225-y216=1 To Find: 1. Use the center, vertices, and asymptotes to graph the hyperbola. 2.…

Q: find the equations of the asymptotes of each hyperbola. x2 - 9y2 = 25

A: Given equation of hyperbola is, x2-9y2=25 Standard form of equation of hyperbola: x-h2a2+y-k2b2=1…

Q: use the method of completeing the sqaure to find the vertex of the parabola whose equation is…

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Q: Classify the graph of the equation as circle, a parabola, an ellipse, ora Show your proof. 1.)9x² +…

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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: Graph the hyperbola. Locate the foci and find the equations of the asymptotes.

A: The equation of the hyperbola is given by x216-y2=1. The standard equation of the hyperbola is of…

Q: Find the equation of the axis of symmetry of the following parabola using graphing technology. Y = y…

A: To find the axis of symmetry of the parabola.  y = x2 - 32x + 48.

Q: Find the equation for the parabola that has its vertex at the origin and the focal point is 278…

A: Consider the equation of parabola vertex at origin and focus to the right of directrix. y2=4ax…

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: Given the hyperbola with the equation y – 9x? = -9, find the vertices, the foci, and the equations…

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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 the equation Gr the parabola with center Cor vertex) at Ca,-4) and facus at (2,0).

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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: Convert the equation 16x2 - y2 + 64x - 2y + 67 = 0 to standard form by completing the square on x…

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Q: find the equations of the asymptotes of each hyperbola. 16y2 - 4x2 = 17

A: To find the equations of the asymptotes of each hyperbola. 16y2 - 4x2 = 17 We rewrite the equation…

Q: Write the equation of the parabola with the focus at (−4, 0) and the directrix is x = 4

A: Given that Focus (-4,0) and the directrix is x=4 and we find equations of parabola.   Here i…

Q: Graph the hyperbola 9x2 - 16y2 = 144. Locate the foci and find the equations of the asymptotes.

A: 9x2-16y2=144⇒9x2-16y2144=1⇒9x2144-16y2144=1⇒x216-y29=1⇒x242-y232=1 Now comparing with x2a2-y2b2=1,…

Q: Determine the equation of the parabola vertex at (-4,-8) directrix is x=0.

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Q: Find the equation for the parabola with vertex (-3,0) and focus (0,0).

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Q: Graph the hyperbola 4x2 - 49y2 = 196. Give the location of the foci and the equations of the…

A: Definition used -                   For a hyperbola-                          (x-h)2a2-(y-k)2b2=1…

Q: Graph the hyperbola, 9x2 - 16y2 = 144. Locate the foci and find the equations of the asymptotes.

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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: 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: Graph the hyperbola 4x2 - y2 + 8x + 6y + 11 = 0. Give the location of the foci and the equations of…

A: Given equation of hyperbola is 4x2-y2+8x+6y+11=0. Given equation can be re-written as:…

Q: find the equations of the asymptotes for each hyperbola. x2 - 2x - 25y2 - 50y - 54 = 0

A: x2-2x-25y2-50y-54=0

Q: Arrange the hyperbolas, represented by equations, in increasing order of the heights of their…

A: Introduction: The equation of the vertical hyperbola is (x-h)2a2-(y-k)2b2=1 and the height of the…

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

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Q: Find the equation for the parabola that has its focus at (-53/4, -7) and has directrix x = 5/4.

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Q: find the equations of the asymptotes of each hyperbola. 4x2 - y2 = 16

A: Given equation is 4x2-y2=16

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…

Q: find the equations of the asymptotes of each hyperbola. 25x2 + 100x - 4y2 + 24y - 36 = 0

A: 25x2+100x-4y2+24y-36=0 On simplification, we get…