document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=734571>Question 734571</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a quadratic function has the following characteristics <BR>\n" );
document.write( "x=1 is the equation for the axis of symmetry <BR>\n" );
document.write( "x=-1 is an x-intercept <BR>\n" );
document.write( "y=-4 is the minimum value <BR>\n" );
document.write( "Determine the y-intercept of the parabola  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #449065 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</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=449065\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The axis of symmetry and the minimum value give you the vertex, (1, -4) = (h, k).  You can begin developing an equation as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=a%28x-1%29%5E2-4 ALIGN=MIDDLE  ALT=\"y=a%28x-1%29%5E2-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Could you try to use the given x intercept to solve for and find the value for \"a\"?  You would then have the equation for this parabola.  Let x=0 and find y.  \r<BR>\n" );
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document.write( "How does this work:  x intercept is at -1.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=a%28-1-1%29%5E2-4 ALIGN=MIDDLE  ALT=\"0=a%28-1-1%29%5E2-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=a%2A%28-2%29%5E2-4 ALIGN=MIDDLE  ALT=\"0=a%2A%28-2%29%5E2-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=4a-4 ALIGN=MIDDLE  ALT=\"0=4a-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4a=-4 ALIGN=MIDDLE  ALT=\"-4a=-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=1 ALIGN=MIDDLE  ALT=\"a=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Parabola is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=1%2A%28x-1%29%5E2-4%29 ALIGN=MIDDLE  ALT=\"highlight%28y=1%2A%28x-1%29%5E2-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  y intercept would be at x=0.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%280-1%29%5E2-4 ALIGN=MIDDLE  ALT=\"y=%280-1%29%5E2-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=1-4 ALIGN=MIDDLE  ALT=\"y=1-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=-3%29 ALIGN=MIDDLE  ALT=\"highlight%28y=-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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