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Use a graphing utility to graph the ellipse.Find the center, foci, and vertices.

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Use a graphing utility to graph the ellipse.Find  the  center,  foci,  and  vertices.(Recall  that  it  may  be necessary to solve the equation for y and obtain two equations.)

5x^2 + 3y^2 = 15
asked Feb 2, 2015 in TRIGONOMETRY by anonymous
reshown Feb 2, 2015 by bradely

1 Answer

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Step 1 :

The ellipse equation is .

Convert the equation into standard form of ellipse.

Compare it with standard form of ellipse .

Where, center as an origin, , and major axis is vertical,

Foci , .

Vertices .

is the length of the major axis and

is the length of the minor axis.

Step 2 :

Center is origin : .

.

Now .

Foci of the ellipse : .

Vertices of the ellipse : .

Step 3 :

Graph the ellipse.

Graph the equation .

Plot the center point .

Plot the focus points .

Plot the vertex points image.

Plot the two points left and right to the center image and image.

Solution :

Center , foci , and vertices image.

The graph of the ellipse is :

answered Feb 7, 2015 by lilly Expert

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