document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=206260>Question 206260</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the graph of a quadratic function (a parabola) has x-intercepts -1 and 3 and a range consisting of all numbers less than or equal to 4. Determine the expression for the function. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #155832 by </B><A HREF=/tutors/aboutme.mpl?userid=Marth><B>Marth(57)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Marth><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=155832\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The base function is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%5E2 ALIGN=MIDDLE  ALT=\"y=x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "\"a range consisting of all numbers less than or equal to 4\"<BR>\n" );
document.write( "The parabola must open downwards because of less than or equal.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-x%5E2 ALIGN=MIDDLE  ALT=\"y=-x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "But, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-x%5E2 ALIGN=MIDDLE  ALT=\"y=-x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > has a range of (-infinity, 0].  So you need to shift it up 4.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-x%5E2%2B4 ALIGN=MIDDLE  ALT=\"y=-x%5E2%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<br><BR>\n" );
document.write( "\"x-intercepts -1 and 3\"<BR>\n" );
document.write( "The normal x intercepts for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-x%5E2%2B4 ALIGN=MIDDLE  ALT=\"y=-x%5E2%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" > would be -2, 2.<BR>\n" );
document.write( "You need to shift the parabola to the right 1 to get -1, 3.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%28x-1%29%5E2%2B4 ALIGN=MIDDLE  ALT=\"y=-%28x-1%29%5E2%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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