document.write( "Question 1132429: find the locus of P(x,y) if P is equidistant from A (1,4) and the x-axis. \n" ); document.write( "
Algebra.Com's Answer #749457 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "let point \"P\"(\"x\",\"y\") be on the locus, and \"A\"(\"1\",\"4\") given point\r
\n" ); document.write( "\n" ); document.write( "distance from \"x\" axis is equal to \"y\" coordinate,so \r
\n" ); document.write( "\n" ); document.write( "so, given \"AP=y\"\r
\n" ); document.write( "\n" ); document.write( "=> \"%28AP%29%5E2=y%5E2\"\r
\n" ); document.write( "\n" ); document.write( "=> \"y%5E2=%28x-1%29%5E2%2B%28y-4%29%5E2\"\r
\n" ); document.write( "\n" ); document.write( " \"y%5E2=x%5E2-2x%2B1%2By%5E2-8y%2B16\"\r
\n" ); document.write( "\n" ); document.write( "\"y%5E2-y%5E2%2B8y=x%5E2-2x%2B17\"\r
\n" ); document.write( "\n" ); document.write( "\"8y=x%5E2-2x%2B17\"\r
\n" ); document.write( "\n" ); document.write( "\"y=%281%2F8%29x%5E2-%281%2F4%29x%2B17%2F8\"\r
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