A. Plot the circles x2+y2=4 and x2+y2=1 on the same coordinate plane.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 41E
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A. Plot the circles x2+y2=4 and x2+y2=1 on the same coordinate plane.

 

 

B. Find the image of any point on x2+y2=4 under the transformation (x,y)→(12x,12y).

       The point (2,0) will go to the ordered pair ( , )

 

C. What do you notice about x2+y2=4 and x2+y2=1 ?

         The small circle is a of the larger one using the origin as a center and a scale factor of

 

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