document.write( "Question 813724: Greetings!\r
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document.write( "I certainly could you use expertise in solving the following problem:\r
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document.write( "Graph each parabola by hand, and check using a graphing calculator. Give the vertex, axis, domain, and range.\r
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document.write( "x = -2y2 + 2y - 3\r
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document.write( "Thank you in advance for your help! \n" );
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Algebra.Com's Answer #489949 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Graph each parabola by hand, and check using a graphing calculator. Give the vertex, axis, domain, and range. \n" ); document.write( "x = -2y2 + 2y - 3 \n" ); document.write( "complete the square: \n" ); document.write( "x=-2(y^2-y+1/4)+1/2-3 \n" ); document.write( "x=-2(y-1/2)^2-5/2 \n" ); document.write( "(y-1/2)^2=-(1/2)(x+5/2) \n" ); document.write( "This is a parabola that opens leftward: \n" ); document.write( "Its basic form of equation: (y-k)^2=-4p(x-h), (h,k)=(x,y) coordinates of the vertex. \n" ); document.write( "For given parabola: \n" ); document.write( "4p=1/2 \n" ); document.write( "vertex:(-5/2,1/2) \n" ); document.write( "axis of symmetry: y=1/2 \n" ); document.write( "domain: (-∞,5/2] \n" ); document.write( "range: (-∞,∞) \n" ); document.write( " |