document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=887945>Question 887945</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A parabola has intercepts of x = -2, x = 3, and y = -4.\r<BR>\n" );
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document.write( "a.	Write the intercept form of the parabola.\r<BR>\n" );
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document.write( "b.	 State the direction of the parabola.  Explain.\r<BR>\n" );
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document.write( "c.	 Write in ax2 + bx + c form. \r<BR>\n" );
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document.write( "d.	 What is the axis of symmetry?\r<BR>\n" );
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document.write( "e.	 What is the vertex?\r<BR>\n" );
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document.write( "f.	 Graph the parabola.  Label axis, vertex, and intercepts.<BR>\n" );
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document.write( "Someone please help this is soooooo confusing. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #536959 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=536959\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Begin filling-in standard form equation.  You know from those three points, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%3E0 ALIGN=MIDDLE  ALT=\"a%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<i> intercepts of x = -2, x = 3, and y = -4</i> means x for the vertex is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2%2B3%29%2F2=1%2F2 ALIGN=MIDDLE  ALT=\"%28-2%2B3%29%2F2=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=a%28x-h%29%5E2%2Bk ALIGN=MIDDLE  ALT=\"y=a%28x-h%29%5E2%2Bk\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "What happens if solve for a?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%28x-h%29%5E2=y-k ALIGN=MIDDLE  ALT=\"a%28x-h%29%5E2=y-k\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=%28y-k%29%2F%28x-h%29%5E2 ALIGN=MIDDLE  ALT=\"a=%28y-k%29%2F%28x-h%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The two roots give<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a=%28-k%29%2F%28-2-h%29%5E2 ALIGN=MIDDLE  ALT=\"+a=%28-k%29%2F%28-2-h%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=%28-k%29%2F%283-h%29%5E2 ALIGN=MIDDLE  ALT=\"a=%28-k%29%2F%283-h%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Might be helpful now or maybe later.\r<BR>\n" );
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document.write( "We can also do this based on the two roots.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=a%28x%2B2%29%28x-3%29 ALIGN=MIDDLE  ALT=\"y=a%28x%2B2%29%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "NOW try solving for a from this equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=y%2F%28%28x%2B2%29%28x-3%29%29 ALIGN=MIDDLE  ALT=\"a=y%2F%28%28x%2B2%29%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute for the y-intercept:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=-4%2F%28%280%2B2%29%280-3%29%29 ALIGN=MIDDLE  ALT=\"a=-4%2F%28%280%2B2%29%280-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=-4%2F%28-6%29 ALIGN=MIDDLE  ALT=\"a=-4%2F%28-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28a=2%2F3%29 ALIGN=MIDDLE  ALT=\"highlight_green%28a=2%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Our equation can be stated, not standard form but as a factored form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=%282%2F3%29%28x%2B2%29%28x-3%29%29 ALIGN=MIDDLE  ALT=\"highlight%28y=%282%2F3%29%28x%2B2%29%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "We already saw what is x of the vertex and now we can find the y coordinate.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%282%2F3%29%281%2F2%2B2%29%281%2F2-3%29 ALIGN=MIDDLE  ALT=\"y=%282%2F3%29%281%2F2%2B2%29%281%2F2-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F3%29%285%2F2%29%28-5%2F2%29=-%282%2A5%2A5%29%2F%283%2A2%2A2%29 ALIGN=MIDDLE  ALT=\"%282%2F3%29%285%2F2%29%28-5%2F2%29=-%282%2A5%2A5%29%2F%283%2A2%2A2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28y=-25%2F6%29 ALIGN=MIDDLE  ALT=\"highlight_green%28y=-25%2F6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Going back to finish standard form, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28highlight%28y=%282%2F3%29%28x-1%2F2%29%5E2-25%2F6%29%29 ALIGN=MIDDLE  ALT=\"highlight%28highlight%28y=%282%2F3%29%28x-1%2F2%29%5E2-25%2F6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "That should be sufficient for you to answer the other questions also.<BR>\n" );
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