document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1092310>Question 1092310</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write a quadratic function with the following features:\r<BR>\n" );
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document.write( "x-intercept = (-3,0) and (1,0); y-intercept = (0,2). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #706925 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13216)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=706925\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br>A quadratic polynomial with x-intercepts a and b is of the form<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x%29+=+c%28x-a%29%28x-b%29 ALIGN=MIDDLE  ALT=\"P%28x%29+=+c%28x-a%29%28x-b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "where c is some constant.<br><BR>\n" );
document.write( "In your problem, with x-intercepts at -3 and 1, the polynomial is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x%29+=+c%28x%2B3%29%28x-1%29 ALIGN=MIDDLE  ALT=\"P%28x%29+=+c%28x%2B3%29%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "To determine the value of the constant c, use the given information that the y-intercept (which is P(0)) is 2:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%283%29%28-1%29+=+2 ALIGN=MIDDLE  ALT=\"c%283%29%28-1%29+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3c+=+2 ALIGN=MIDDLE  ALT=\"-3c+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+-2%2F3 ALIGN=MIDDLE  ALT=\"c+=+-2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "And the complete polynomial (in factored form) is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x%29+=+%28-2%2F3%29%28x%2B3%29%28x-1%29 ALIGN=MIDDLE  ALT=\"P%28x%29+=+%28-2%2F3%29%28x%2B3%29%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( " </SPAN>\n" );
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