15. What is the equation of the given ellipse? (-3,2) O (x+3)² 4 O (x+3)² 7(y +1.5)² 2 2 + (-1,-1.5) + 49(y +1.5)² 7 ○ (x+3)² 2(y+1.5)² 2 7 O (x+3)² 4(y +1.5)² + 4 49 = 1 = 1 = 1 = 1 = X

Q: 3. Find the coordinates of the foci of the ellipse given by the equation 4x² + y? = 64. O (0, 4v3)…

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Q: Determine the general form of equation of an ellipse whose standalu (x-2)2 (y+3)2 + = 1. 9 4 1.…

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Q: 20. Find the foci of the ellipse with the following equation: 169 + = 1 25 O F(-5, 0), F2(5, 0) O…

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Q: 6. Write an equation for an ellipse if the endpoints of the major axis are at (1, 6) and (1, –6) and…

A: Here we have to find the equation of ellipse.

Q: 3. Find the vertex for the parabola 4x + 2y² + 8 = 0. (a) (0, -2) (b) (-2,0) (c) (2, 2) (d) (-2,1)

A: The equation of the parabola is  4x+2y2+8=0

Q: The ellipse with the given equation is centered at x² +9y² + 3x - 18y + 9 = 0 3 9 (²/₁₁) (²17,¹1) 2…

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Q: Consider the ellipse A. (-5,1) (x-5)² 256 (y-7)² 400 B. (-5,-1) 1. One of the foci is at (-5,15). At…

A: Given equation:- x-52256+y-72400=1

Q: 13. Which of the following is the equation of the graph shown? 2 Parabola Oy = - 3x? – 6x – 2 Oy = -…

A: The objective is to find the equation of the graph.

Q: Comet Brittany-1952 moves along an ellipse with equation 64x²128x +9y2 - 512= 0 (shown below)…

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Q: S3(*-4y")(>'+14y*-7)' dy

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Q: 1. A parabola has equation -12x + y? – 24 = 0. Write the equation in standard form.

A: The equation of the parabola is, - 12x + y² - 24 = 0 So, y² = 12x + 24

Q: The conic section with equation 2 9 + y² = 1 is: 16

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Q: 2x2 + 3y2 – 12 = 0 - 24 1 44 200 12 14 14 15 14 24 erom 22 24 24 O y=vC(12-2x*2)/3) O…

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Q: 4. Which of the equations below represents this ellipse? 10 5 -5 5 -5- --10

A: Here the Major axis is on the Y axis. And the Minor axis is on x axis. The last option is true.

Q: What is the equation of an ellipse having vertices at and a minor axis (0,+8,) which is 6 units in…

A: the standard equation of the vertical ellipse is given by x-h2a2+y-k2b2=1

Q: Adjust h, k, and t to reproduce this picture, only with your ellipse being purple instead of green.…

A: Note: According to Bartleby guidelines; for more than one question asked, only the first one is to…

Q: Write the equation of the ellipse 9x² + 16y² + 18x − 96y + 9 = 0 in standard form - (x - h)² (y-k)²…

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Q: 7. Write the equation of the ellipse in standard form. 8x +32x + 4y – 8y = -4 (+2)2 4 (y+1)? =1 8 O…

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Q: f the equation (5x - 1)² + (5y - 2)² = (y²-2y+1) (3x + 4y - 1)² represents an ellipse then find…

A: Introduction: An ellipse is the locus of all those points in a plane such that the sum of their…

Q: 4, (x – 1) _(y+6)2 = 1. 5. Consider the ellipse whose equation is --- ---- 25 a. Identify the…

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Q: Is the student's analysis correct? Why or why not? Select all correct statements. The analysis is…

A: This is in fact a hyperboloid of two sheets.The standard equation of which is given by .Now the…

Q: Which of the following is the domain and range of the ellipse with equation x² + 4y²2 - 2x + 16y-…

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Q: Find the directrix of the parabola described by the equation 6 (x – 3) + (y + 2)? = 0 O x = } O x =…

A: The  parabola with vertex at (h,k) and focus at (h-a,k) has a standard equation, (y-k)2=-4a(x-h) The…

Q: Which of the following equations does not represent an ellipse? * x² + 2y² - 16 = 0 Option 1 x² +…

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Q: Which of the following equations does not represent an ellipse? * x² + 2y² - 16 = 0 Option 1 x² +…

A: topic - equation of ellipse

Q: Find the equation of the parabola y = ao + a₁ + a2x² that passes through the points (-1 -9), (0,…

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Q: Write the equation for the ellipse with minor axis of length 8 and foci located at (5,0) and (-5,0).…

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