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
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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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document.write( "Thankyou so much. \n" );
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Algebra.Com's Answer #724005 by ikleyn(52873) You can put this solution on YOUR website! . \n" ); document.write( "From your post, it looks like you need to gain your knowledge about the subject from the scratch.\r \n" ); document.write( " \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 \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); 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" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " After reading these lessons, it will be clear to you also that the domain is the set of x \r\n" ); document.write( "\r\n" ); document.write( " -5 <= x <= 5, or, which is the same, the segment [-5,5],\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " while the range is the set of y\r\n" ); document.write( "\r\n" ); document.write( " -5 <= y-2 <= 5, or which is the same, -3 <= y <= 7, the segment [-3,7].\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "----------------- \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \n" ); document.write( "\"Conic sections: Ellipses. Definition, major elements and properties. Solved problems\".\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "================\r \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "My response: Right, correct. \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |