In Problem,find the vertices and foci of each ellipse.Graph each equation. x2/9+y2/4=1

Q: Find the vertices and foci of the ellipse. Sketch its graph, showing the foci.10y2 + x2 = 5

A: Find the standard form of the ellipse. 10y2+x2=5x2+10y2=5x25+10y25=55x252+y2122=1         Standard…

Q: Find an equation for each ellipse.Graph the equation.

A: Given that vertices of ellipse are ±5,0 that is ±a,0=±5,0⇒a=5  Also, c=2⇒ae=2  (see the figure in…

Q: Find an equation for the hyperbola that satisfies the given conditions. Foci: (0, ±3), vertices: (0,…

A: we need to find equation of hyperbola Given  Foci : (0,±3), vertices : (0,±1)   Since vertices are…

Q: Classify the graph of the equation 9x2 + 9y2 − 36x + 6y + 34 = 0 as a circle, a parabola, an…

A: Since the coefficients of x2 and y2 are the same and are of the same sign too. So this given…

Q: 5. Find the Foci and Vertices of the Ellipse and sketch it, if the Equation is 16x? + 64y? = 256

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Find the center, vertices, foci, and lengths of the major and minor axes of the ellipse. Then sketch…

A: Consider the given function.

Q: Find an equation for each ellipse.Graph the equation.

A: Given: Foci at 1,2 and -3,2vertex at -4,2

Q: In Problem,find the vertices and foci of each ellipse.Graph each equation. x2 + y2 = 16

A: Given equation, x2 + y2 = 16

Q: 6. Find the Equation of the Ellipse whose Vertices and Foci are at (0, ±17) and (0, ±9)…

A:

Q: The vertices of an ellipse are (±4, 0), and the foci are (±2, 0). Find its equation and sketch the…

A: Given: The vertices of an ellipse are (±4, 0), and the foci are (±2, 0).

Q: Find the standard form of the equation of each ellipse satisfying the given conditions. Foci:…

A: The equation of the ellipse with center 0,0 is of the form x2a2+y2b2=1 where the length of the major…

Q: Find the standard form of the equation of the ellipse satisfying the given conditions. Foci: (-2,0),…

A: Given:

Q: 7 Find the center, foci, and vertices of the ellipse. Graph the equation. 9x + 4y? – 36x + 8y = -4

A:

Q: Only graph the ellipse. x^2 + 4y^2 = 1

A: Explanation of the answer is as follows

Q: In Problem,find the vertices and foci of each ellipse.Graph each equation.x2+9y2/25=1

A: Given: x21+9y225=1 To find the vertices and foci

Q: In Problem,find the vertices and foci of each ellipse.Graph each equation. 4y2 + 9x2 = 36

A: The equation of an ellipse is given as 4y2 + 9x2 = 36 Divide both sides by 36 4y236 + 9x2 36=…

Q: Find the standard form of the equation of the ellipse and give the location of its foci.

A: Standard equation of an ellipse, x-h2b2+y-k2a2=1 Where a > b Where (h, k) is center of an…

Q: Find the vertices, asymptotes, and foci of a hyperbola with the equation (x+1)^2 - (y-3)^2 = 4.

A: To find the vertices, asymptotes, and foci of a hyperbola with the equation, x+12-y-32=4.

Q: Find an equation for the hyperbola that satisfies the given conditions. Foci: (0, ±2), vertices: (0,…

A: We can use the concept of hyperbola in order to solve the given problem.

Q: 7) Find the center, foci, and vertices of the following ellipse. Graph the equation. (x + 4)2, (y +…

A: Given ( x + 4 )29+( y + 2 )29=1                        --------------(1)The standard form of the…

Q: In Problem,find the vertices and foci of each ellipse.Graph each equation. x2 /25 +y2/ 4 = 1

A: The equation of an ellipse is given as x225+y24=1 We can write the above equation as x252+y222=1

Q: find the vertices, foci, center (if an ellipse or a hyperbola), and asymptotes (if a hyperbola).x^2…

A: find the vertices, foci, center (if an ellipse or a hyperbola), and asymptotes (if a hyperbola).x^2…

Q: Part 1 - Ellipse: Graph each ellipse and locate the foci.

A: Consider the ellipse

Q: What is the equation of the given ellipse? Y (-3, 2) (-1,-1.5) X

A: Graph of the ellipse is given, we have to find its equation.

Q: In Problem,find the vertices and foci of each ellipse.Graph each equation. x2 + 9y2 = 18

A: The general equation of ellipse having center  at (0,0) and major axis x axis as symmetry is…

Q: The graph of the equation = 1 with a > b>0 is b² an ellipse with vertices and (- ) and foci y2 (±c,…

A: Since, we know that the vertices of the standard equation of an ellipsex2a2+y2b2=1 is ±a,0 when the…

Q: In Problem,find the vertices and foci of each ellipse.Graph each equation. 4x2 + y2 = 16

A: The standard form of an equation of the ellipse is x-h2a2+y-k2b2=1. Where, h, k is the centre. h±a,…

Q: Find the vertex, focus, and directrix of parabola with the given equation x2 - 4x - 2y = 0. Then…

A:

Q: Sketch the graph and find the foci of the given ellipse 16x2+9y2=144

A:

Q: Find the standard form of the equation of each ellipse satisfying the given conditions Foci:…

A:

Q: Find the foci of the ellipse 16x2 + 9y2 = 144, and sketch its graph.

A: Given,          ellipse=16x2+9y2=144First we put the equation in standard form.Dividing by 144, we…

Q: Find the center, foci, and vertices of the ellipse. Graph the equation. x²-6x+9y²+54y+9=0

A: The solution are next step

Q: Identify each equation.If it is a parabola,give its vertex,focus,and directrix;if it is an…

A: The given equation is of ellipse,  y225+x216=1comparing with the general equation of…

Q: Graph the hyperbola 4x2 - 49y2 = 196. Give the location of the foci and the equations of the…

A: Definition used -                   For a hyperbola-                          (x-h)2a2-(y-k)2b2=1…

Q: Find the vertex, focus, and directrix of parabola with the given equation y2 = 8x. Then graph the…

A:

Q: Convert the equation 16x2 + 25y2 - 300y + 500 = 0 to standard form by completing the square on x and…

A: Convert the equation 16x2 + 25y2 - 300y + 500 = 0 to standard form by completing the square on x and…

Q: find the vertices, foci, center (if an ellipse or a hyperbola), and asymptotes (if a hyperbola). x2…

A:

Q: Graph the hyperbola y2/9 - x2 = 1. Give the location of the foci and the equations of the asymptotes

A: Equation of hyperbola  y2a2-x2b2=1           ...(1) Then foci = 0,±c, where c=a2+b2 Equation of…

Q: Find the vertices and foci of the ellipse. Sketch its graph, showing the foci.

A: x-3216+y+429=1 Comparing with x-h2a2+y-k2b2=1, we get h=3,  k=-4,  a2=16  &  b2=9⇒h=3,  k=-4,…

Q: Find an equation for the hyperbola that satisfies the given conditions. Foci: (+11, 0), vertices:…

A:

Q: Find the vertices and foci of the ellipse. Sketch its graph, showing the foci.4x2 + y2 = 16

A: 4x2+y2=16equation of ellipsex2a2+y2b2=14x2+y2=16dividing both sides by16 both sides…

Q: Find the Vertices, Foci and the Equations of the Asymptotes of the Hyperbola whose Equation is x?–…

A: (7) Rearrange the equation in the general form of hyperbola and determine the vertices for the…

Q: 3) Find the equation for the ellipse that has vertex at (9, -1) and foci (0, -1) and (8, -1).

A:

Q: (x-1), (v+3) +. =D1 4 6.

A:

Q: . Find the Vertices, Foci and the Equations of the Asymptotes of the Hyperbola whose Equation is x?…

A:

Q: Find the vertices and foci of the ellipse. Sketch its graph, showing the foci.4x2 + y2 = 2y

A: Given                        4x2+y2=2y              4x2+y2-2y=04x2+y2-2y+1-1=0…

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.