1- Sketch the following conic sections: Aa-. y-4y+8- 4x2 -0 b- y2 -4y-4x2 = 8 c- 3(y- s)2 - 7(x + 1)? = 1 %3D

Q: Identify the conic 9x2 – 4y² – 18x + 24y + 9 = 0. Determine the foci, center and end points of the…

A: Identify the conic 9x2-4y2-18x+24y+9=0 Determine the foci, center, and endpoints of the major and…

Q: (x − 6)²(y+3)² + 36 25 = 1

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

Q: Classify the following conic section from its standard equation: 2x² + 4xy+ 5y² + 3x - 4y-20 = 0.…

A:

Q: 3. Find the vertex, focus, and equation of the directrix for the conic given by (x + 1)² = -20(y -…

A: We have to find focus, vertex and equation of directrix.

Q: (b) Find for what value of the equation 12x²+36xy + y² + 6x + 6y + 3 = 0 represents a pair of…

A:

Q: 8. Find the equation of the conic whose focus is (4, -5) and directrix is x = -2.

A:

Q: 42 - 8r - 16,

A:

Q: Write the equation in standard form, identify the conic and the location of its center or vertex:…

A: We have to find the equation of the conic.

Q: 2. Identify the conic section given by y² + 2y = 4x² + 3 Find its vertex/vertices and focus/foci.

A: We rewrite the equation as: This is an equation of a hyperbola.

Q: 16x^2-9y^2+96x+18y-9=0 -conic? -equation of this conic in the form we used for graphing?

A: Explained below

Q: find the key values for a conic a. y^2 - 8x - 4y + 4 = 0   b. 6x^2 - 4y^2 -12x-8y-22=0   c. x^2…

A: a y2-8x-4y+4=0y2-4y+4-8x=0y-22=8xwhere y=y-2 , a=2which is the general form of a parabolavertex…

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.