document.write( "Question 568612: My center 8,-1 & my radius is 4. How do I solve for x & y intercepts and graph it? \n" ); document.write( "

Algebra.Com's Answer #367053 by AnlytcPhil(1806) $\"\"$ $\"About$

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My center (8,-1) & my radius is 4. How do I solve for x & y intercepts and graph it?
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document.write( "The equation of a circle with center (h,k) and radius r is\r\n" );
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document.write( "(x - h)² + (y - k)² = r²\r\n" );
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document.write( "(h,k) = (-8,-1) and r = 4, so the equation is\r\n" );
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document.write( "(x - 8)² + (y - (-1))² = 4²\r\n" );
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document.write( "(x - 8)² + (y + 1)² = 16\r\n" );
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document.write( "The graph is\r\n" );
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document.write( "The x-intercepts are when y=0, so we substitute y=0 in\r\n" );
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document.write( "(x - 8)² + (0 + 1)² = 16\r\n" );
document.write( "       (x - 8)² + 1 = 16\r\n" );
document.write( "           (x - 8)² = 15\r\n" );
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document.write( "Use the principles of square roots:\r\n" );
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document.write( "              x - 8 = ±\r\n" );
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document.write( "                  x = 8 ± \r\n" );
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document.write( "The x-intercepts are \r\n" );
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document.write( "    (, 0) and (, 0)\r\n" );
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document.write( "which are approximately (4.13,0) and (11.87,0)\r\n" );
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document.write( "Edwin

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