document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1205935>Question 1205935</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A roller coaster drop creates a parabolic shape while going<BR>\n" );
document.write( "underground. The distance from the ground in feet can be<BR>\n" );
document.write( "modeled by the equation y = 3x² − 24x + 36, where x is the<BR>\n" );
document.write( "number of seconds on the ride. Which of the following can<BR>\n" );
document.write( "represent the domain when the roller coaster is underground?<BR>\n" );
document.write( "Ⓐ x > 4<BR>\n" );
document.write( "Ⓑ x < 36<BR>\n" );
document.write( "Ⓒ 2 < x < 6<BR>\n" );
document.write( "Ⓓ x is all real numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #843040 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3816)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=843040\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Answer:   <font color=red size=4>2 < x < 6</font>\r<BR>\n" );
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document.write( "Explanation\r<BR>\n" );
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document.write( "The equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+3x%5E2+-+24x+%2B+36 ALIGN=MIDDLE  ALT=\"y+=+3x%5E2+-+24x+%2B+36\"   DISABLED_style= \"max-width:90%; height:auto;\" > is of the template <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+ax%5E2+%2B+bx+%2B+c ALIGN=MIDDLE  ALT=\"y+=+ax%5E2+%2B+bx+%2B+c\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a = 3<BR>\n" );
document.write( "b = -24<BR>\n" );
document.write( "c = 36<BR>\n" );
document.write( "Plug those values into the quadratic formula below.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"x+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"   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=x+=+%28-%28-24%29%2B-sqrt%28%28-24%29%5E2-4%283%29%2836%29%29%29%2F%282%283%29%29 ALIGN=MIDDLE  ALT=\"x+=+%28-%28-24%29%2B-sqrt%28%28-24%29%5E2-4%283%29%2836%29%29%29%2F%282%283%29%29\"   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=x+=+%2824%2B-sqrt%28576+-+432%29%29%2F%286%29 ALIGN=MIDDLE  ALT=\"x+=+%2824%2B-sqrt%28576+-+432%29%29%2F%286%29\"   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=x+=+%2824%2B-sqrt%28144%29%29%2F%286%29 ALIGN=MIDDLE  ALT=\"x+=+%2824%2B-sqrt%28144%29%29%2F%286%29\"   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=x+=+%2824%2B-++12%29%2F%286%29 ALIGN=MIDDLE  ALT=\"x+=+%2824%2B-++12%29%2F%286%29\"   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=x+=+%2824%2B12%29%2F%286%29 ALIGN=MIDDLE  ALT=\"x+=+%2824%2B12%29%2F%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2824-12%29%2F%286%29 ALIGN=MIDDLE  ALT=\"x+=+%2824-12%29%2F%286%29\"   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=x+=+%2836%29%2F%286%29 ALIGN=MIDDLE  ALT=\"x+=+%2836%29%2F%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2812%29%2F%286%29 ALIGN=MIDDLE  ALT=\"x+=+%2812%29%2F%286%29\"   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=x+=+6 ALIGN=MIDDLE  ALT=\"x+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" > or  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+2 ALIGN=MIDDLE  ALT=\"x+=+2\"   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=x+=+2 ALIGN=MIDDLE  ALT=\"x+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+6 ALIGN=MIDDLE  ALT=\"x+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If either x = 2 or x = 6, then f(x) = 0.\r<BR>\n" );
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document.write( "If <font color=red size=4>2 < x < 6</font> then the parabola is below the x axis as demonstrated by this graph.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-2%2C8%2C-15%2C20%2C-100%2C3x%5E2-24x%2B36%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-2%2C8%2C-15%2C20%2C-100%2C3x%5E2-24x%2B36%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Desmos is a graphing tool I recommend.<BR>\n" );
document.write( "GeoGebra is also very useful as well.<BR>\n" );
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