Determine whether the equation represents an ellipse, a parabola, or a hyperbola. 16x2 + 36y2 – 128x + 36y + 121 = 0 O ellipse O parabola O hyperbola If the graph is an ellipse, find the center, foci, and vertices. If it is a parabola, find the vertex, focus, and directrix. If it is a hyperbola, find the center, foci, vertices, and asymptotes. (Enter your answers for asymptotes as a comma-separated list of equations. If an answer does not exist, enter DNE.) center (х, у) %3D focus (х, у) %3D (smaller x-value or only focus) focus (х, у) %3D (larger x-value) (х, у) %3D (smaller x-value or only vertex) vertex (х, у) %3D (larger x-value) vertex length of the major axis length of the minor axis asymptotes directrix

Q: Locate vertex, focus, and the directrix of the following equations of parabola. x2 = -8y  y2= 4x…

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Q: find the equation of the parabola with the given properties. Vertex (0, 0), focus ( 1/12 , 0)

A: The locus of points whose distance from fixed point is equal to its distance from a fixed line ,…

Q: Identify the equation as a circle, a parabola, an ellipse, or a hyperbola. 16x2+9y2-98x + Sy+224 = 0…

A: Given

Q: Complete the square to determine whether the graph of the equation is a parabola, hyperbola, circle,…

A: We have to find

Q: Which equation represents a parabola with a vertex (-3, 2) and focus (-3,5)? O y = -3x2 + 3x + 2 O y…

A: we have to find the equation of the parabola

Q: Convert the equation x2 - 2x - 4y + 9 = 0 to standard form by completing the square on x or y. Then…

A: Given:

Q: Find an equation of the parabola with vertex , −1−2 and focus , −5−2 .

A: Given information:The vertex of parabola is (1,2).The focus of parabola is (5,2)

Q: . State whether the graph of the equation below is an ellipse, circle, parabola, or hyperbola, -4x…

A: The given equation is -4x2+y-10x+10=0

Q: Identify the vertices and foci of the hyperbola with equation y? x2 : 1 652 722 The vertices are

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Q: find the equation of the parabola with the given properties. Vertex (0, 0), focus1/12 , 0

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Q: Convert the equation 4x2 - 9y2 + 8x - 18y - 6 = 0 to standard form by completing the square on x and…

A:

Q: Convert the equation y2 - 2y + 12x - 35 = 0 to standard form by completing the square on x or y.…

A: Consider the provided parabola equation, y2-2y+12x-35=0 Find the vertex, focus, and directrix of the…

Q: Convert the equation 9y2 - 4x2 - 18y + 24x - 63 = 0 to standard form by completing the square on x…

A: To graph the hyperbola.

Q: Identify each equation.If it is a parabola,give its vertex,focus,and directrix;if it is an…

A: The given equation is  4x2-y2=8x22-y28=1 which is of the form x2a2-y2b2=1 and hence it is equation…

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

A: A hyperbola is a type of conic section formed when a plane cuts a right circular cone. Consider a…

Q: For Exercise, identify each equation as representing a circle, an ellipse, a hyperbola, or a…

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Q: Find the equation of a hyperbola with center at the origin, whose transverse axis is on the axis and…

A:

Q: Complete the square to determine whether the graph of the equation is a parabola, hyperbola, circle,…

A: Given,           The equation is x-32+y+12=16 .We know that,           The standard equation of…

Q: Which equation refers to a hyperbola with the center at the orig x² y² a² = 1 b2

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Q: Find the vertex, focus, directrix, and axis of symmetry of the parabola. (y+1)² =2(x- 5)

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Q: Find the vertex, focus, directrix, and axis of symmetry of the parabola. (y+3)²=2(x-4)

A: Given, The parabola y+32=2x-4  We have to find vertex, focus, directrix and axis of symmetry of the…

Q: Locate the vertex, focus, directrix and axis of symmetry of the parabola y^2-5x+12y=-16.

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Q: Find the equation of the parabola with the given properties Vertex (0,0), focus (5, 0). = x

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Q: find the vertices, foci, center (if an ellipse or a hyperbola), and asymptotes (if a hyperbola). 4x2…

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Q: Decide if the equation defines an ellipse, a hyperbola, a parabola,or no conic section at all. −4x +…

A: Decide if the equation defines an ellipse, a hyperbola, a parabola, or no conic section at all.…

Q: Determine whether the equation represents an ellipse, a parabola, or a hyperbola. 2x + y2 + 8y + 10…

A:

Q: For Exercise, identify each equation as representing a circle, an ellipse, a hyperbola, or a…

A: Given equation is

Q: For Exercise, identify each equation as representing a circle, an ellipse, a hyperbola, or a…

A: Consider the provided equation,

Q: Convert the equation to the standard form for a hyperbola by completing the square on x and y. 9y-4x…

A:

Q: Q5:Cross section of a Nuclear cooling tower is in the shape of a hyperbola with equation…

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Q: Graph the hyperbola by finding the center, vertices, and foci. Then use the b value to draw the box…

A: A hyperbola of the form (x-h)2a2-(y-k)2b2=1, then the transverse axis is parallel to the x-axis the…

Q: Identify the equation as a parabola, circle, ellipse, or hyperbola. (x - 7)2 = 9 – y2 O A. Hyperbola…

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Q: A- write the standard form of ellips ( 25x+ 9y+ 100x + 18y= 116 ) and find the center, vertices and…

A: For standard equation we apply completing square method to given equation

Q: Find the vertex, the focus, and the directrix of the parabola. x2 + 2x - 8y - 39 = 0

A:

Q: Write an equation for the hyperbola that has vertices (±2,0) and foci (±v 53,0).

A:

Q: Complete the square to determine whether the graph of the equation is a parabola, hyperbola, circle,…

A: given…

Q: Find the equation of the parabola with the given properties Vertex (0, 0), focus (8,0).

A: According to the question the vertex is at (0, 0); h = 0 and k = 0   Since the vertex and focus lie…

Q: For Exercise, identify each equation as representing a circle, an ellipse, a hyperbola, or a…

A:

Q: Find an equation of the parabola with vertex (2, −3) and focus (2, −7).

A: (a) The standard  equation of parabola  is           (x - h)2 = 4p (y - k), where the focus is (h, k…

Q: For Exercise, identify each equation as representing a circle, an ellipse, a hyperbola, or a…

A: This is an equation of parabola.

Q: Find an equation of the parabola with vertex , 1−4 and focus , 7−4 .

A:

Q: Determine the standard equation of Hyperbola Show your solutions 4x²-9y²-8x-90y-257=0

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Q: Graph the hyperbola described by the equation -9x + 16y? – 18x -64y = 89, and give the coordinates…

A: This question can be solved using the concept of general equation of hyperbola.

Q: 2x2 + 8ху + 8у? + 12х + 24у+18 %3D 0

A: 2x2+8xy+8y2+12x+24y+18=0⇒x2+4xy+4y2+6x+12y+9=0⇒x+2y2+6(x+2y)+9=0let x+2y=tt2+6t+9=0it can rewritten…

Q: Complete the square to determine whether the graph of the equation is a parabola, hyperbola, circle,…

A: We have to find

Q: whether the transverse axis is horizontal 37. 81y² - x² + 486y - 8x + 632 = 0

A: Given equation of hyperbola,…

Q: Complete the square to determine whether the graph of the equation is a parabola, hyperbola, circle,…

A: The solution of the problem is given in the next step.

Q: Complete the square to determine whether the graph of the equation is a parabola, hyperbola, circle,…

A:

Q: A- write the standard form of ellips ( 25x + 9y' + 100x + 18y = 116 ) and find the center. vertices…

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Q: Find the center, foci, and vertices of the ellipse. 16x2 + 9y + 64x-90y + 145 0

A: Recall:  Standard form of ellipse,  (x-h)2b2+(y-k)2a2=1, a>b Where, (h,k)=center vertices=(h,k±a)…

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.