document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=909255>Question 909255</A>: <I><SPAN STYLE=\"word-break: break-all;\"> write an equation for a quadratic given the following:\r<BR>\n" );
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document.write( "x-intercepts are (2,0) and (5,0) and y-intercept is (0,6)\r<BR>\n" );
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document.write( "I know that it means I have (x-2) and (x-5) for my equation.  I multiplied them to get  x^2 - 7x + 35.  I'm not sure how to incorporate the y-intercept.\r<BR>\n" );
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document.write( "Do I put the equation equal to 6 and solve?<BR>\n" );
document.write( "6= x^2 - 7x + 35\r<BR>\n" );
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document.write( "Is my answer x^2 - 7x -29? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #551732 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=551732\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> write an equation for a quadratic given the following:\r<BR>\n" );
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document.write( "x-intercepts are (2,0) and (5,0) and y-intercept is (0,6)\r<BR>\n" );
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document.write( "I know that it means I have (x-2) and (x-5) for my equation.  I multiplied them to get  x^2 - 7x + 35.  I'm not sure how to incorporate the y-intercept.\r<BR>\n" );
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document.write( "Do I put the equation equal to 6 and solve?<BR>\n" );
document.write( "6= x^2 - 7x + 35\r<BR>\n" );
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document.write( "Is my answer x^2 - 7x -29?<BR>\n" );
document.write( "At the y-intercept, x = 0<BR>\n" );
document.write( "For x^2 - 7x -29, at x = 0, y = -29<BR>\n" );
document.write( "--> No, that's not it.<BR>\n" );
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document.write( "x^2 - 7x + 10 is correct for the x-intercepts.  (not 35)<BR>\n" );
document.write( "You have to \"adjust\" it to get the y-int of (0,6).<BR>\n" );
document.write( "Adding 6 shifts it upward, and affects the x-intercepts, too.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Multiply it by a constant to make the 10 --> 6<BR>\n" );
document.write( "--> 6/10 or 3/5<BR>\n" );
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document.write( "(3/5)*(x^2 - 7x + 10) = 3x^2/5 - 21x/5 + 6<BR>\n" );
document.write( "3x^2/5 - 21x/5 + 6 = 0<BR>\n" );
document.write( " </SPAN>\n" );
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