document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=231249>Question 231249</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the y-intercept of a parabola whose vertex is (-1,2), which is turned downward, and  whose width is the same as y=2x^2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #171177 by </B><A HREF=/tutors/aboutme.mpl?userid=texttutoring><B>texttutoring(324)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=texttutoring><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/cgi-bin/show-face.mpl?user=texttutoring><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=171177\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We need to come up with the equation of the parabola.\r<BR>\n" );
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document.write( "The general equation is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=a%28x-p%29%5E2%2Bq ALIGN=MIDDLE  ALT=\"y=a%28x-p%29%5E2%2Bq\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The vertex is (p,q). So in our case, p=-1 and q=2.\r<BR>\n" );
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document.write( "The amplitude is a. In our case, it is turned downward, which makes it negative. It has the same width was y=2x^2, so our amplitude is a=-2.\r<BR>\n" );
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document.write( "Putting it all together:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2%28x%2B1%29%5E2%2B2 ALIGN=MIDDLE  ALT=\"y=-2%28x%2B1%29%5E2%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "To find the y-intercept, substitute x=0 and solve for y:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2%280%2B1%29%5E2%2B2 ALIGN=MIDDLE  ALT=\"y=-2%280%2B1%29%5E2%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2%281%29%5E2%2B2 ALIGN=MIDDLE  ALT=\"y=-2%281%29%5E2%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2%2B2 ALIGN=MIDDLE  ALT=\"y=-2%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=0 ALIGN=MIDDLE  ALT=\"y=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The y-intercept is 0. </SPAN>\n" );
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