Identify and find the equation of the conic in standard form: vertices at Vi(12, 4) and V2(-10,4), and foci at F1(10, 4) and F2(-8,4). (Sketch the graph of the conic).

Q: Identify and sketch the graph of the conic section.x2 − y2 + 2x − 3 = 0

A: We complete the square and write the equation in standard form So, this is an equation of a…

Q: Use a translation of axes to put the conic in standard position. Identify the graph, give its…

A:

Q: Find the standard form of the equation of the conic section satisfying the given conditions,…

A:

Q: Identify and sketch the conic 4x2 + y2 -8x + 4y - 8 = 0

A: Consider the standard form Ax2+Bxy+Cy2+Dx+Ey+F=0  Here if A=C≠0…

Q: etermine which conic is the one whose general equation has only one term raised to the square, that…

A: Given:

Q: Identify and sketch the graph of the conic section.y2 + 8x + 6y + 25 = 0

A:

Q: Use a translation of axes to put the conic in standard position. Identify the graph, give its…

A: Rearrange the terms to get the standard form

Q: Write the equation of the Conic, given its graph.

A:

Q: Write the general conic

A: The standard equation of horizontal ellipse centered at h, k with semi major axis length a and semi…

Q: Find an equation for the conic whose graph is shown. y 10 5 K11, 0) 10 15

A: Given,

Q: Find an equation for the conic whose graph is shown. y

A:

Q: Determine the type of conic section, give its equation, and clearly graph with coordinates: 9x2 +…

A: According to the given information it is required to determine the type of conic section and graph…

Q: write the standard form equation for the conic with center at (-8,14), vertices at (-1,14) and…

A:

Q: Identify the conic represented by equation x2 - 2xy + 3y2 + 2x + 4y - 1 = 0 without using a rotation…

A: if ab is greater than h^2 then conic is ellipse.

Q: -6 4 -2 19 6 4 2 2 6

A: The standard form of the equation of a hyperbola with center (h,k)(h,k) and transverse axis parallel…

Q: Perform a rotation of axes to eliminate the xy-term, and sketch the graph of the conic.xy + 1 = 0

A:

Q: Identify the conic represented by the equation, 5x2 + 2√3xy + 3y2 - 18 = 0 without using a rotation…

A: The equation Ax2+Bxy+Cy2+Dx+Ey+F=0 a) Parabola: If B2-4AC=0 b) Ellipse: If B2-4AC<0 c) Hyperbola:…

Q: Find the equation by determining the type of the conic and draw its graph.

A: the equation is given to us  25x2+9y2-100x+54y-44=0

Q: Identify and sketch the graph of the conic section.y2 − 4x − 4 = 0

A: We have given the equation; y2 − 4x − 4 = 0 Which can be rewritten as; y2 =4x + 4  (y-0)2 =4(x +1)

Q: find the vertices and foci of the conic section.  (x − 3/4)2+(y + 1/7)2= 1

A: x-342+y+172=1

Q: Identify the type of conic from the discriminant.x2+2ry +y2 + V2x-V2y-2=D0, =45°

A:

Q: 3 Determine what kind of conic is represented by the equation r = 1-3sine

A:

Q: Find an equation for the conic section with the given properties. The hyperbola with foci F1(3, -5)…

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

Q: 3 -6 -4 사업 4 2 -2 19 6 ly 2 4 6 8

A: Given,

Q: + 2x + y² – 2y = 2

A: NOTE: Refresh your page if you can't see any equations. . add 1 to both sides

Q: entify the coni

A: Given,           x2+16y2-160y+384=0

Q: -8 -6 -4 19 4 2 19 ∞

A: Graph of the right open parabola is given, we have to find its equation

Q: Identify the conic with the given equa­tion and give its equation in standard form…

A:

Q: Find an equation for the conic whose graph is shown. y F (6, 0)

A:

Q: What is the general equation of the conic section passing through the points  A(0,1), B(2,3),…

A: Given points A(0,1), B(2,3), C(5,4), D(1, −2), E(4, −1)   General equation:  ax2 + bxy + cy2 +…

Q: Find a polar equation of the conic in terms of r with its focus at the pole. Conic Parabola Vertex…

A: Here, the given vertex of the parabola is (12, π/2). As θ = π/2, the vertex is on the Y axis. The…

Q: Identify and sketch the graph of the conic section.y2 + x = 0

A: On simplification, we get

Q: Identify the conic, write in standard form and graph it: 16x2 + 4y2− 64x − 24y + 36 = 0.

A:

Q: (b) Show that the equation r² – 4x + 4y2 – 12 = 0 represents a conic section. Sketch the conic…

A: To show: The equation x2 – 4x + 4y2 – 12 = 0 represents a conic section.Proof:

Q: Identify the conic section that appears in the drawing of a wooden pencil in the figure.

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Q: Identify and sketch the graph of the conic section.x2 − 6y = 0

A:

Q: Sketch the conic sections. Indicate the foci, and show your work: A) 4x2+3y2+8x-6y=5 B)…

A: A)Given equation is,

Q: Find the equation of the conic of major axis on the x-axis, the center at (0,0) passing through (2,…

A:

Q: Perform a rotation of axes to eliminate the xy-term, and sketch the graph of the conic.16x2 − 24xy +…

A: To Perform a rotation of axes to eliminate the xy-term, and to sketch the graph of the conic.…

Q: Identify the conic section and graph. (x-5)^2/100-(y+3)^2/64=1

A: We can compare the given equation with: So the given equation is a hyperbola.    Comparing we get:…

Q: Find the standard form of the equation of the conic section satisfying the given conditions,…

A: Given Hyperbola; Foci: (-4, 5), (2, 5); Vertices: (-3, 5), (1, 5)

Q: Find an equation of the conic section that satisfies the given condition- Find an equation of the…

A: Explanation of the answer is as follows

Q: Identify the conic represented by the equation, 5x2 - 8xy + 7y2 - 9√5x - 9 = 0 without using a…

A: Consider the given equation of conic  5x2-8xy+7y2-95x-9=0 Now, compare the given equation of conic…

Q: Identify the conic represented by equation x2 + 6xy + 9y2 - 2y = 0 without using a rotation of axes.

A: Identify the conic represented by equation x2 + 6xy + 9y2 - 2y = 0 A standard form of conic is given…

Q: 3 -6 -4 -2 8 19 41 2 2 41 19 ① 2 4 6

A: We have to solve the conic

Q: Determine the equation of the conics shown below

A:

Q: Identify and sketch the graph of the conic section.

A: The given equation is x236-y249=1

Q: Find an equation for the conic whose graph is shown:

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.