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Chapter 11: Q.119 (page 1119)

In the following exercises, graph each equation by translationx-324+y-7225=1

Short Answer

Expert verified

The graph of the ellipse isx-324+y-7225=1

Step by step solution

01

Step 1, Given the information 

The given equation of the ellipse isx-324+y-7225=1

02

Step 2. Draw a graph 

This ellipse will have the same size and shape as x24+y225=1

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

Since localid="1645263510312" 4<25The major axis is vertical,

localid="1645264360187" a2=4a=卤2and localid="1645264389332" b2=25b=卤5

The vertices arelocalid="1645264420538" 0,5,(0,-5)and The endpoints of the minor axis arelocalid="1645264454889" 2,0,-2,0

03

Step 3. Sketch an original  graph

The Centre of the ellipse is 3,7

We translate the graph x24+y225=1

3 units to the right and then up 7 units.

Verify that the center is 3,7

04

Step 4. Conclusion

Hence, the new ellipse is the ellipse whose equation isx-324+y-7225=1

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