Problem 15: An ellipse has its major axis on the x-axis, center at ( -3, 0 ), one of the vertices at ( -5, 0 ) and length of latus rectum equal to 1. Find its equation. A. 4x2+ ( y – 3 )² = 4 B. 4x²+ ( y + 3 )² = 1 C. (x+ 3 )² + 4y² = 1 D. (x + 3 )2 + 4y² = 4

Q: A parabola has no x-intercepts, vertex (1, -4), and is congruent in shape to the graph of y= 5x.…

A: To find the equation of a parabola that has a vertex at (1, -4) and is congruent in shape to the…

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: Problem 24: Given the equation of the parabola y? + 16y + 8x + 40 = 0. Find the coordinates of its…

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Q: Determine whether the equation is that of a circle, parabola, ellipse, hyperbola, or none of these.…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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: Suppose a parabola has vertex (-8, -7) and also passes through the point (-7, -4). Write the…

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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: 10.Write anequation of an ellipse with vertices (-7, -3), (-1, -3) and eccentricity of 0.745?

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Q: 26. Find the standard form of the equation of the specified ellipse. Foci: (1, 5), (-3, 5); Major…

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Q: Find the equation of the hyperbola with a vertex at (4,3), a focus at (6,3) and the center at (2,3).

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Q: 5. Put the following equation into standard form, classify it as a circle, ellipse, hyperbola, or…

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Q: Given an ellipse has foci at (7,-2) and (7,-8) and the endpoints of the minor axis are at (11,-5)…

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Q: What is the equation of the parabola in general form given its vertex at (-1,-5) and focus at…

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Q: If a parabola y=ax2+ky=ax2+k has vertex (0,−1)(0,−1) and passes through the point (4,2)(4,2). What…

A: A Parabola y=ax2+k       ...(1) has Vertex (0,-1) and Passes through the Point (4,2)

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: Find the equations of the osculating circles of the parabola y = 3(x – 2)2 at the points (2,0)

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

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Q: Arrange the parabolas represented by the equations according to the positions of their foci on the…

A: The standard form of a parabola is  (x – h)2 = a(y – k) where (h, k) is the vertex.

Q: Which equation represents a parabola with focus (2, 6) and directrix y = 2? A. y+4=(x-2)² 10 B.…

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Q: Which of the following represents a parabola with vertex at (4, -2) and focus at (4, 4)? O A. (x -…

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Q: Find the equation of the ellipse with vertices at (−10, −4) and (6, −4), and covertices at (−2, −9)…

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Q: O y = -(x+ 4)² + 5 | O y = -(x- 4)² – 5 | O y = #(x – 4)² + 5 O y = -( - 4)² + 5

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