Find an equation for the ellipse that shares a vertex and a focus with the parabola y2 + 4x = 36 and has its other focus at the origin .

Q: Graph the ellipse 9(x - 1)2 + 4(y + 3)2 = 36 and give the location of its foci.

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Q: Graph the ellipse x2/25 + (y - 2)2/36 = 1 and give the location of its foci.

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Q: Find the standard form of the equation of the ellipse satisfying the following conditions. vertices…

A: Given:Vertices of major axis: (-2,12) and (-2,4)Length of minor axis is 4

Q: Classify the graph of the equation 9x2 + 9y2 − 36x + 6y + 34 = 0 as a circle, a parabola, an…

A: Since the coefficients of x2 and y2 are the same and are of the same sign too. So this given…

Q: 20) Write the equation of the ellipse 4x +9y +24x 162y + 729 = 0 in standard form and then graph the…

A: Given the equation of the ellipse, 4x2+9y2+24x-162y+729=0

Q: Find the equation of the ellipse whose focus is (0,4) and the directrixy = 9. %3D

A: Given that Ellipse has focus at (0, 4) and the directrix is y=9 Major axis is along x=0, y-axis. so…

Q: 1. 49x2 + 25y? + 98x + 50y - 1131 = 0.

A: We will find all the above as shown below

Q: Convert the equation 36x2 + 9y2 - 216x = 0 to standard form by completing the square on x and y.…

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Q: Graph the ellipse and locate the foci: 4x2 = 36 - 9y2

A: Consider the given ellipse equation that is 4x2+9y2=36.Express the above equation in standard form…

Q: Find an equation of the ellipse with center at (0, 0); vertex at (0, 4); focus at (0, -2).

A:

Q: Find an equation for the ellipse that shares a vertex and a focus with the parabola y? + 4x = 36 and…

A: Given :-  An equation for the ellipse that shares a vertex and focus with the parabola y2 + 4x = 36…

Q: Draw the ellipse with the equation: 2x2 + y² + 4x – 9y = 7.

A: First convert this equation in standard form.…

Q: Write the equation of the ellipse that has its center at the origin and A focus at (0, 4); vertex at…

A: Given:

Q: Convert the equation 4x2 + y2 + 16x - 6y - 39 = 0 to standard form by completing the square on x and…

A: Concept: The two expressions connected by equal to be called an equation. The expression on the two…

Q: .Determine the equation of an ellipse that satisfies the following properties:  - the center point…

A: Given problem:- 3. Determine the equation of an ellipse that satisfies the following properties:  -…

Q: Q2) Put the equation (3x +(y-2) = 3) in standard form and sketch the ellipse.

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Consider an ellipse centered at the origin whose major axis is vertical.The equation of this ellipse…

A: Given that : Consider an ellipse centered at the origin whose major axis is vertical. The equation…

Q: Determine the equation of the ellipse with center (-2,-4), a focus at (-2,5), and a co-vertex at…

A: Given:        center =-2,-4        focus =-2,5        co-vertex 10,-4 Equation of Ellipse is…

Q: Find the equation in standard form of the ellipse below: 2 1. (1, 0) 1 -1 -2

A: Here is the solution of the given problem.  As we know that the Standard form of an ellipse with…

Q: Sketch the graph of the ellipse with equation 9x + 4y = 36 %3D

A:

Q: Write the equation of the ellipse that has its center at the origin with focus at (0,4) and vertex…

A: The ellipse has its center at the origin with focus at (0,4) and vertex at (0,7)

Q: Graph the ellipse (x - 3)2 + 9(y + 2)2 = 18 and give the location of its foci.

A: the given equation of ellipse is  (x-3)2+9(y+2)2=18

Q: Write the standard equation of an ellipse whose general equation is x² + 4y² + 6x - 16y + 17 = 0.…

A: Standard form of an ellipse with vertex at (h,k) is given by, (x-h)²/a² + (y-k)²/b²= 1

Q: Sketch the graph and find the foci of the given ellipse 16x2+9y2=144

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Q: Translated to the right 6 units

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Q: Find an equation for the ellipse whose graph is shown. + 25 1 x 16 y F(0, 4) 4

A: The standard form of the equation of ellipse with center (0, 0) and major axis on the y-axis is…

Q: Graph the ellipse (x - 4)2/9 + (y + 2)2/25 = 1 and give the location of its foci.

A: Given: x-429 + y+2225 = 1 To find: Location of the foci and to graph the ellipse.

Q: Find an equation for the ellipse whose graph is shown. I X y X 3 0 4

A: The figure of the ellipse is To evaluate: The equation of ellipse.

Q: Convert the equation 16x2 + 25y2 - 300y + 500 = 0 to standard form by completing the square on x and…

A: Convert the equation 16x2 + 25y2 - 300y + 500 = 0 to standard form by completing the square on x and…

Q: Graph the ellipse and locate the foci: 9x2 + 4y2 - 18x + 8y - 23 = 0

A: Given:            9x2+4y2-18x+8y-23=0 Find the general form of the conic.…

Q: What is the eccentricity of the ellipse whose equation is [(x2) / 25] +[(y-3)2 / 9] = 1?

A:

Q: Graph the ellipse and the foci (z-4) +. 25 (v+2) =D1

A:

Q: Find the general equation of the ellipse with center at the origin, one focus at (0,-8) and a vertex…

A: Given,            Center is at origin, one focus at 0,-8 and a vertex at 0,6.To find : Equation of…

Q: Find the standard equation of the parabola opening to the left whose axis contains the major axis of…

A:

Q: Determine whether the graph of the equation is the upper, lower, left, or right half of an ellipse,…

A: Given x=-139-y2 Since we have, 9-y2, y2 cannot be greater than 9, Hence y can have values only from…

Q: Graph the ellipse and give the location of its foci.

A: Given: (x+2)216+(y−3)2=1

Q: Find an equation for the ellipse whose graph is shown. y 3 | 4

A: Equation of ellips is determined

Q: Rewrite the equation of the ellipse in standard form and graph it below by dragging the center,…

A: The given equation of ellipse is 25x2+150x+y2-8y+216=0. Rewrite the ellipse in its standard form as…

Q: Express the equation of an ellipse 5x' +4y-40x+8y+64 =0 in standard form. Hence, sketch the ellipse.

A: NOTE: Hi! Thank you for your question. As per the honor ode, we'll answer one question in case of…

Q: Find an equation for the ellipse whose graph is shown. y F(0, 2) 2

A:

Q: Sketch a graph of the ellipse 9x^2+2y-54x+y^2+46=0 and determine the coordinated of the foci, the…

A: Given, This an equation of an ellipse.

Q: Find the general equation of the ellipse that shares a vertex and a focus with the parabola defined…

A: For the equation of the parabola , the vertex is and the focus is . For the equation of the ellipse…

Q: Find the equation of the ellipse x2 + 9y2 - 4x - 72y + 139 = 0 and locate the coordinates of the…

A: Given the equation of the ellipse, x2+9y2-4x-72y+139=0

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.