Sketch the graph of 2x2 + 9y2 = 18, and find the foci.

Q: Find an equation of the parabola with vertex (-5, -5) and directrix y = -11. D=0 ?

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Q: Graph the cardioid r = a(1+ cost) , a < 0?

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Q: Find the center, vertices, foci, and sketch from x -4y2 +6x +16y -11 = 0.

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Q: Draw the graph of the equation 2x + 3y = 12. %3D

A: We have to draw the graph of the equation: 2x+3y=12 Rewriting the equation in intercepts form,…

Q: Sketch the graph of the equation 9x2 − 18x + 4y2 + 16y − 11 = 0

A: Given equation

Q: Graph the equation by plotting points. 8y + 4x= 8 Use the graphing tool to graph the equ Click to…

A: the given equation is 8y+4x=8 we have to graph the given equation by plotting points.   the equation…

Q: Find the angle at which the parabola y=x2−14 intersects the positive x−axis.

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Q: Rewrite the equation 4x2 + 3y2 – 16x – 12y + 16 = 0 to standard form and identify the coordinates of…

A: The given equation is 4x2+3y2-16x-12y+16=0. We need to first rewrite it to standard form. The have…

Q: solve for the focus of the parabola 8y = -x2 + 4x + 36

A: Solution:-     As we know,           The equation of a parabola in a vertex form is…

Q: Make a table of values, and sketch a graph of the equation.

A: Given- y=-9-x2 To make- A table of values, and sketch a graph of the equation.

Q: Transform the equation into center-radius form. Draw its graph x² + y² - 2x + 4y -4 = 0

A: We have to find out centered and radius form

Q: Graph: 4x2 + 36y2 + 40x - 288y + 532 = 0. Where are the foci located?

A: On simplification, we get

Q: Express 3x? + y² + 2z? + 6x – 4y – 12z + 26 = 0 to its standard form. Also, Sketch and identify its…

A: We have given    3 x2 + y2 + 2 z2 + 6 x - 4 y - 12 z + 26 = 0      To Express it in Standard form

Q: Sketch the graph of the equation. 3x + 2y = 12

A: To sketch the graph of the equation 3x+2y=12.

Q: how to graph the equation 2x+5y=10

A: The given equation is a linear equation. Hence it represents a straight line.For plotting a straight…

Q: Graph the ellipse x2 + 9y2 - 4x + 54y + 49 = 0. Give the location of the foci.

A: Given ellipse is x2+9y2-4x+54y+49=0 It can be rearranged and simplified using completing the square.…

Q: Please find attached

A: To sketch the graph of the equation given.

Q: Find an equation of the parabola with vertex (-5, 2) and directrix y =-2. D=0 ?

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Q: (i) Sketch the graph of y =|5x²– 14r – 3| graph meets the coordinate axes.

A: Given: y=5x2-14x-3 To express: (i) The given function in the form of p(x+q)2+r form. To sketch: (ii)…

Q: Describe the graph of the equation X² −y² −4x + 8y−21 = 0

A: x2-y2-4x+8y-21=0

Q: Find the equation of the parabola with directrix y = 3, axis x = 0, and latus rectum 4. (two answers…

A: The standard equation of the parabola is (y-k)=4a(x-h)2, where h and k are the coordinates of the…

Q: Graph: x2 + 4y2 + 10x + 24y + 45 = 0. Where are the foci located?

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Q: 1) Graph 3x* +8у? %3D72 Also graph the foci.

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Q: Sketch the graph of the equation.

A: y=csc2x-π4

Q: Match the equation with its graph. y2 = 4x2 + 922 %3D 3 2-

A: This is the problem of 3 dimensional curve plotting. Based on the online available graph plotter we…

Q: Graph the cardioid r a(1+ cost) , a < 0?

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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: I need the equation plotted on graph paper 8x+3y=12

A: Given equation : 8x + 3y = 12    We have to plot the graph of given equation.

Q: Graph the parabola y2 - 2x - 2y - 5 = 0. Give the location of the focus and the directrix.

A: We have to graph the parabola and we have to give the location of the focus and the directrix where…

Q: 2. Put the equation in standard form then sketch a graph indicating the foci and end points: 9x2 +…

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Q: What is an equation of the axis of symmetry of the graph of the parabola y = 2x² + 3x + 5? A y=-} O…

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Q: Find the focus of the parabola. -x- 6x+3y- 15=0 OD

A: If you like the solution then please give it a thumbs up.... The Answer is:           Result:  Focus…

Q: Find the focus of the parabola. -x+2x+ 5y-6=0 OD

A: Given query is to find the focus of the parabola.

Q: Where the graph y = x^3 − 3x^2 + 2x − 10 is concave up and concave down?

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Q: (b) Graph the equation x² + 2x +9y² +9z² = 8, labelling the coordinates of the center and one vertex…

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Q: Find the foci and vertices and sketch the graph. 25x2 + 4y2 + 50x – 16y = 59

A: Consider the given equation 25x2+4y2+50x-16y=59. The equation can be written as follows.…

Q: Find the vertices and foci of the ellipse: 6. (x-1) (y+3)? = 1. Round to nearest tenth if…

A: Given- x-129+y+3236=1 To Find- The vertices and focii of the ellipse.

Q: Write an equation for the hyperbola that has foci at (0, v65) and (0, - v65), and asymptotes y =…

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Q: Sketch the graph of the equation. x2 + y2 + 4x – 10y = 24

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Q: 10. Describe the graph of the equation - x² + 4y – 4x + 40y + 60 = 0.

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Q: Find the verticies and foci, and sketch the graph: x2- 4y2 = 4

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Sketch the graph of 9x2 + 4y2 = 25, and find the foci.

A: Given equation is 9x2+4y2=25. To sketch the graph and find the foci. Solution: Given equation can be…

Q: Make a table of values, and sketch a graph of the equation.

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Q: Graph: (x - 1)2/4 + (y + 2)2/9 = 1. Where are the foci located?

A: Consider the given equation, x-124+y+229=1 here the objective is to graph the ellipse and locate the…

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.