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Chapter 11: Q.121 (page 1119)

In the following exercises, graph each equation by translationx-529+y+4225=1

Short Answer

Expert verified

The graph of the ellipse x-529+y+4225=1

Step by step solution

01

Step 1, Given the information 

The given equation of the ellipse isx-529+y+4225=1

02

Step 2. Draw a graph 

This ellipse will have the same size and shape as x29+y225=1

Whose center is 0,0 Firstly we plot this graph,

Since 9<25The major axis is vertical,

a2=9a=卤3and b2=25b=卤5

The vertices are 0,5,(0,-5)and The endpoints of the minor axis are 3,0,-3,0

03

Step 3. Sketch an original  graph

The Centre of the ellipse is 5,-4

We translate the graph x29+y225=1

5 units to the right and then down 4 units.

Verify that the center is 5,-4

04

Step 4. Conclusion

Hence, the new ellipse is the ellipse whose equation is

x-529+y+4225=1

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