3 2 -6 -5 -4 -3 -2 -1 1 2 3 4 5 -2 -3 -4 -5 -6 Find the equation of the circle (x + 2)² + (y – 1)² = 4 (x – 3)² + (y + 3)² = 9 (x – 3)² + (y – 1)² = 3² (x + 3)² + (y + 2)² = 1 4) 1.

Q: What is the vertex of the parabola y=(x+3)²-4? A (3,4) B (-3,4)

A: The vertex of standard parabola equation  y = x2  is at (0,0)

Q: Identify the quadratic surface of the equation 6x? + 3y? + 222 + 24x – 6y – 12z + 39 = 0 Choose an…

A: Given, 6x ^ 2 + 3y ^ 2 + 2z ^ 2 + 24x - 6y - 12z + 39 = 0

Q: Which equation represents a circle with a center at (2, - 7) and a radius of 4 units?

A:

Q: 3x2 − 6x − 4y + 8 = 0 identify the standard form, vertex, focus, ends of latus rectum, directrix;

A: the solution is following.

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…

A:

Q: 1.) 25x2 − 250x + 25y2 − 250y + 625 = 0 2.) (x-5)^2/49+(y+3)^2/25=1 Identify the end points of the…

A: As per our honor code, we are authorized to answer only one question at a moment. As you have not…

Q: Circle Y is given by the equation (+2)² + (y+6)² = 16. Which of the following is the graph of circle…

A: The given standard equation the circle is(x+2)2+(y+6)2=16

Q: x² + y² - 2x + 8y + 8 = 0 is the equation of a circle with center (h, k) and radius r for:

A:

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

A:

Q: Find the points of intersection between the line 4y - 3x + 12 = 0 and the ellipse 9x 2 + 16y 2 =…

A: The line 4y-3x+12=0 And the Ellipse 9x2+16y2=144 We need to find the intersection point of the line…

Q: Is the student's analysis correct? Why or why not? Select all correct statements. The analysis is…

A: This is in fact a hyperboloid of two sheets.The standard equation of which is given by .Now the…

Q: Find the directrix of the parabola described by the equation 6 (x – 3) + (y + 2)? = 0 O x = } O x =…

A: The  parabola with vertex at (h,k) and focus at (h-a,k) has a standard equation, (y-k)2=-4a(x-h) The…

Q: Find the x² + y² − 3x − 6y + 14 = 0, - equation of the circle which cuts th x² + y² − x − 4y + 8 = 0…

A: The circle having center at the radical center of the three given circles and radius equal to the…

Q: The graph of the equation  (x − 4)2 + (y − 2)2 = 9  is a circle with center  (x, y) =    and…

A:

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.