document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=749770>Question 749770</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the x-intercepts and y-intercept of y = -x^2 + 3x + 4. Sketch the curve, using the x-intercepts and y-intercept to help you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #456147 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39614)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=456147\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find y intercept using x=0.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-0%5E2%2B3%2A0%2B4=4 ALIGN=MIDDLE  ALT=\"y=-0%5E2%2B3%2A0%2B4=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so you have (0,4).\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28x+-4%29%28-x+-1%29 ALIGN=MIDDLE  ALT=\"y=%28x+-4%29%28-x+-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  is the factored form of the given function which you can also rewrite as:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=-1%2A%28x-4%29%28x%2B1%29%29 ALIGN=MIDDLE  ALT=\"highlight%28y=-1%2A%28x-4%29%28x%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "The value of y will be 0 when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4 ALIGN=MIDDLE  ALT=\"x=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > or when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-1 ALIGN=MIDDLE  ALT=\"x=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  <BR>\n" );
document.write( "The x intercepts are then (-1,0) and (4,0).  Note also, the maximum point occurs at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1.5 ALIGN=MIDDLE  ALT=\"x=1.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the parabola opens downward.\r<BR>\n" );
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document.write( "Compare that information to the graph:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-7%2C7%2C-7%2C7%2C-x%5E2%2B3x%2B4%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-7%2C7%2C-7%2C7%2C-x%5E2%2B3x%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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