document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=591>Question 591</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Will you please help me with the following problem?\r<BR>\n" );
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document.write( "Put the following quadratic in standard form, identify the vertex, y-intercept, and graph including two symmetrical points to the left and right of the vertex. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #234 by </B><A HREF=/tutors/aboutme.mpl?userid=janinecb><B>janinecb(25)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=janinecb><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=234\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Different books actually have slightly different standard forms for the parabola. One version is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+a%28x+-+h%29%5E2+%2B+k ALIGN=MIDDLE  ALT=\"y+=+a%28x+-+h%29%5E2+%2B+k\"   DISABLED_style= \"max-width:90%; height:auto;\" > Where (h, k) is the vertex.<BR>\n" );
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document.write( "To find the y-intercept, just plug in zero for the x and solve for y.<BR>\n" );
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document.write( "To find two symmetrical points, find two numbers the same distance to the left and right of the x value of the vertex. Then plug them in for x and solve for y.<BR>\n" );
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document.write( "Example:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28x+-+2%29%5E2+%2B+1 ALIGN=MIDDLE  ALT=\"y+=+%28x+-+2%29%5E2+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > The vertex is (2, 1).<BR>\n" );
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document.write( "Plug in zero for x to find the y-intercept.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%280+-+2%29%5E2+%2B+1 ALIGN=MIDDLE  ALT=\"y+=+%280+-+2%29%5E2+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-2%29%5E2+%2B+1 ALIGN=MIDDLE  ALT=\"y+=+%28-2%29%5E2+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = 4 + 1<BR>\n" );
document.write( "y = 5 So the y-intercept in point form is (0, 5).<BR>\n" );
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document.write( "Pick two x values that are the same distance from the x value of the vertex, such as 1 and 3. Then plug them into the equation to find the y values to go with them on the graph.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%281+-+2%29%5E2+%2B+1 ALIGN=MIDDLE  ALT=\"y+=+%281+-+2%29%5E2+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-1%29%5E2+%2B+1 ALIGN=MIDDLE  ALT=\"y+=+%28-1%29%5E2+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = 1 + 1<BR>\n" );
document.write( "y = 2 So one point is (1, 2).<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%283+-+2%29%5E2+%2B+1 ALIGN=MIDDLE  ALT=\"y+=+%283+-+2%29%5E2+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%281%29%5E2+%2B+1 ALIGN=MIDDLE  ALT=\"y+=+%281%29%5E2+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = 1 + 1<BR>\n" );
document.write( "y = 2 So a symmetrical point is (3, 2).<BR>\n" );
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