Determine if the equation below describes an ellipse and, if so, give its correct center, foci, and vertices. 9x? – 4y? + 72x – 24y + 144 = 0. - %3D O Center: (-4,3) | Foci: (-4,3-v(5)), (-4,3+v(5))| Vertices: (-4,0), (-4,6) Center: (4,-3) | Foci: (4,-3-v(5)), (4,-3+v(5)) | Vertices: (4,-6), (4,0) O This is not an ellipse. O Center: (-4,3) | Foci: (-4-v(5),3), (-4+v(5),3)|Vertices: (-7,3), (-1,3)

Q: Find the equation of the parabola by using three points (4,0), (2,8), and (6,0). Step 1. Write the…

A:

Q: Find the equation of the hyperbola with vertices (-7,3) and (1, 3) and foci (-11, 3) and (5,3).…

A: Vertices   -7,3 and     (1,3)Foci                -11,3     and   5,3

Q: Find the location of the center, vertices, and foci for the hyperbola described by the equation.…

A: Properties of Hyperbolas Solution:

Q: Write the equation of the ellipse that has a center at (- 4, - 5), a focus at (– 1, – 5), and a…

A: The general equation of an ellipse centered at a point (h,k) with major axis parallel to the x axis…

Q: put the equation in standard form then find the center, major and minor vertices, foci and…

A: To Determine: Put the equation in standard form then find the center, major and minor vertices,…

Q: ←+++ -10-9-8-7 Y 10- g 8+ 77 6 (0,3√5) 5+ 4+ 3+ -5- -7- -8+ 1 2 -6-(0,-3√5) -10- 3 4 5 ++ ++ x 6 7 8…

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Q: Identify the coordinates of the vertices and foei for each hyperbola. 25 o V:(-2 + 3,0); F: (-2+4,0)…

A: we have given a hyperbola.  We have to find it's vertices and foci

Q: What are the foci of this ellipse?

A: Centre of an ellipse is the mid point of both major and minor axis.  From the given graph it is…

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.