Which graph represents the ellipse given by x^2/4+y^2/1=1?

Q: For the ellipse equation: 4x^2 + 9y^2 = 36 find the center, vertices, foci and graph it.

A: The given equation of ellipse is:4x2+9y2=36x29+y24=1

Q: 9- 4 -9-8 -7 -6 -5 -4 -3 -2/ -1 I 2 3 \4 5 6 7 8 -2 -4 -6 Write an equation for the ellipse graphed…

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Q: 5. -5 -5

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Q: Express the equation of an ellipse in standard form. Determine the values of a,b,c, the length and…

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Q: write the equation of the ellipse 9x2+36y2+90x+216y+225= 0 in standard form, please show all written…

A: Standard equation of ellipse is x-x02a2+y-y02b2=1    when major axis on the horizontal axis

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

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Q: the area of the ellipse 9x^2 + 8y^2 = 72 answer: 26.7

A: To Find: Area of the ellipse  9x2+8y2=72

Q: Find the focus and directrix of the parabola with the equation 6y^2+10x=0. Then choose the correct…

A: Given that, the equation of the parabola is 6y2+10x=0 6y2+10x=06y2=-10xy2=-10x6y2=-4512x Compare the…

Q: Can you do a parabola with the starting point being (0,0)

A: Given a parabola with equation y=x2

Q: given the following equation: 36y^2-4x^2=144.  a) determine if the function is an ellipses or a…

A: This question can be solved using the concept of conic section.

Q: The length of the latus rectum for the ellipse x^2/64 + y^2/16 = 1 is equal to

A: Explanation of the answer is as follows

Q: For the hyperbola given by (9x^2)- (4y^2) -36x -24y - 36 = 0, find the distance between its…

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Q: The standard equation of the ellipse is x233+y249=1 because it says incorrect on my end. Can you…

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Q: state the center, vertices, equations of asymptotes, and the foci of the following equation x^2/9 -…

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Q: Write an equation of the ellipse in standard form ((x-h)/a)^2 + ((y-k)/b)^2 =1

A: Standard form of ellipse isx-h2a2+y-k2b2=1

Q: write in standard form of equation vertex hyperbola with (− 1, 2) center and  focus (− 3 (,−2)3, +…

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Q: graph

A: Describe and sketch the graph of the following: y^2 + 2x = 2y + 5  We see that any quadratic…

Q: Write the equation of the hyperbola 25x^2-9y^2-150x-36y-36=0 in standard form.

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Q: Can you please solve 4x^2+3y^2+12y-36=0 this equation in the form of the standard ellipse equation?…

A: Here the given equation is,  4x2+3y2+12y-36=0 The standard form of the ellipse is  (x-h)2/a2 +…

Q: Find the area and perimeter of an ellipse with major axis = 6 and minor axis = 4.

A: Topic = Ellipse

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.