document.write( "Question 867544: Find an equation of a parabola with
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document.write( "a) focus(0,-7) and directrix x = 7
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document.write( "b) focus(5,0) and directrix x = -5\r
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document.write( "Thanks so much in advance:) \n" );
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Algebra.Com's Answer #523132 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Find an equation of a parabola with \n" ); document.write( "a) focus(0,-7) and directrix: x=7 \n" ); document.write( "This is an equation of a parabola that opens left with vertex at origin. \n" ); document.write( "Its basic form of equation: y^2=-4px \n" ); document.write( "For given parabola: \n" ); document.write( "vertex:(0,0) \n" ); document.write( "axis of symmetry: y=0 \n" ); document.write( "p=7 (distance from vertex to directrix and focus on the axis of symmetry) \n" ); document.write( "4p=28 \n" ); document.write( "equation: y^2=-28x \n" ); document.write( "... \n" ); document.write( "b) focus(5,0) and directrix x = -5 \n" ); document.write( "This is an equation of a parabola that opens right with vertex at origin. \n" ); document.write( "Its basic form of equation: y^2=4px \n" ); document.write( "For given parabola: \n" ); document.write( "vertex:(0,0) \n" ); document.write( "axis of symmetry: y=0 \n" ); document.write( "p=5 (distance from vertex to directrix and focus on the axis of symmetry) \n" ); document.write( "4p=20 \n" ); document.write( "equation: y^2=20x \n" ); document.write( " |