document.write( "Question 1187578: FIND THE EQUATION OF THE PARABOLA: \r
\n" ); document.write( "\n" ); document.write( "Axis vertical and passing through (0,0) , (1,0) and (5,-20)\r
\n" ); document.write( "\n" ); document.write( "the equation pls thank you so much:)
\n" ); document.write( "

Algebra.Com's Answer #818579 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Axis vertical and passing through (0,0) , (1,0) and (5,-20)\r
\n" ); document.write( "\n" ); document.write( " the equation of the parabola is:\r
\n" ); document.write( "\n" ); document.write( "\"y=ax%5E2%2Bbx%2Bc\"\r
\n" ); document.write( "\n" ); document.write( "Since the parabola passes through the point (\"0\",\"0\"), then \"0=c\"\r
\n" ); document.write( "\n" ); document.write( "so we have
\n" ); document.write( "\"y=ax%5E2%2Bbx+\"\r
\n" ); document.write( "\n" ); document.write( "Since the parabola passes through the point (\"1\",\"0\"), then \r
\n" ); document.write( "\n" ); document.write( "\"0=a%2A1%5E2%2Bb%2A1+\"\r
\n" ); document.write( "\n" ); document.write( "\"0=a%2Bb\"......solve for \"a\"\r
\n" ); document.write( "\n" ); document.write( "\"a=-b\"........eq.1\r
\n" ); document.write( "\n" ); document.write( "Since the parabola passes through the point (\"5\",-20), then \r
\n" ); document.write( "\n" ); document.write( "\"-20=25a%2B5b\" ........substitute \"a\" from eq.1\r
\n" ); document.write( "\n" ); document.write( "\"-20=25%28-b%29%2B5b\"
\n" ); document.write( "\"-20=-25b%2B5b\"
\n" ); document.write( "\"-20=-20b\"
\n" ); document.write( "\"b=1\"\r
\n" ); document.write( "\n" ); document.write( "go to
\n" ); document.write( "\"a=-b\"........eq.1...substitute \"b\"
\n" ); document.write( "\"a=-1\"\r
\n" ); document.write( "\n" ); document.write( "your equation is:\r
\n" ); document.write( "\n" ); document.write( "\"y=-x%5E2%2Bx+\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );