document.write( "Question 1108989: Hi, can you please show me how to find the domain and range of a circle without sketching it? x^2 + (y-2)^2 = 25. \r
\n" ); document.write( "\n" ); document.write( "Also after you've sketched the graph of a circle and you have the centre and radius, how do you find the other coordinates of the circle. (is there any other method than just counting from the graph).\r
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Algebra.Com's Answer #724005 by ikleyn(52873)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "From your post, it looks like you need to gain your knowledge about the subject from the scratch.\r
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\n" ); document.write( "\n" ); document.write( "See the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Standard equation of a circle\r
\n" ); document.write( "\n" ); document.write( "    - General equation of a circle\r
\n" ); document.write( "\n" ); document.write( "    - Transform general equation of a circle to the standard form by completing the squares \r
\n" ); document.write( "\n" ); document.write( "    - Identify elements of a circle given by its general equation \r
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document.write( "    After reading these lessons, it will be clear to you that the citcle has the center at the point (x,y) = (0,2) and the radius of 5 units.\r\n" );
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document.write( "    After reading these lessons, it will be clear to you also that the domain is the set of x   \r\n" );
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document.write( "        -5 <= x <= 5,  or, which is the same, the segment  [-5,5],\r\n" );
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document.write( "    while the range is the set of y\r\n" );
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document.write( "        -5 <= y-2 <= 5,   or which is the same,  -3 <= y <= 7,  the segment  [-3,7].\r\n" );
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\n" ); document.write( "Also,  you have this free of charge online textbook in ALGEBRA-II in this site\r
\n" ); document.write( "\n" ); document.write( "    ALGEBRA-II - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic
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\n" ); document.write( "\n" ); document.write( "Comment from student:   Thank you.  So if it was like  (x+1)^2 + (y-4)^2 = 169,  domain = [-14,12]  and  range = [-9, 17]  right? \r
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\n" ); document.write( "\n" ); document.write( "My response:   Right,  correct. \r
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