document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=172897>Question 172897</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the vertex, axis, and the x & y intercepts of \r<BR>\n" );
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document.write( "y= (2x-7) (2x-1)\r<BR>\n" );
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document.write( "please explain step by step \r<BR>\n" );
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document.write( "I would really appreciate any help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #127764 by </B><A HREF=/tutors/aboutme.mpl?userid=jojo14344><B>jojo14344(1513)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jojo14344><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=127764\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=+%282x-7%29+%282x-1%29+ ALIGN=MIDDLE  ALT=\"y=+%282x-7%29+%282x-1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Expand:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=4x%5E2-14x-2x%2B7 ALIGN=MIDDLE  ALT=\"y=4x%5E2-14x-2x%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=4x%5E2-16x%2B7 ALIGN=MIDDLE  ALT=\"y=4x%5E2-16x%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Transpose constant to the left, likewise \"copy\" the \"a\" constant of a quadratic eqn ---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28a%29x%5E2%2Bbx%2Bc ALIGN=MIDDLE  ALT=\"highlight%28a%29x%5E2%2Bbx%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" >to the left. factor out the right term:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-7%2B4%2Ahighlight%284%29=4%28x%5E2-4x%29 ALIGN=MIDDLE  ALT=\"y-7%2B4%2Ahighlight%284%29=4%28x%5E2-4x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Complete the square by taking \"half\" of '4' on the right term,in this ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F2=2 ALIGN=MIDDLE  ALT=\"4%2F2=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then squared it----><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E2=4 ALIGN=MIDDLE  ALT=\"2%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-7%2B16=4%28x%5E2-4x%2Bhighlight%284%29%29 ALIGN=MIDDLE  ALT=\"y-7%2B16=4%28x%5E2-4x%2Bhighlight%284%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=y%2B9=4%28x-2%29%5E2 ALIGN=MIDDLE  ALT=\"y%2B9=4%28x-2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=4%28x-2%29%5E2-9 ALIGN=MIDDLE  ALT=\"y=4%28x-2%29%5E2-9\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> it follows vertex form, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%28x-h%29%5E2%2Bk ALIGN=MIDDLE  ALT=\"a%28x-h%29%5E2%2Bk\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "where---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28h=x%2Ck=y%29 ALIGN=MIDDLE  ALT=\"system%28h=x%2Ck=y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, therefore, the vertex is at (2,-9).<BR>\n" );
document.write( "Axis of symmetry is the x-intercept of the vertex: ---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=2%29 ALIGN=MIDDLE  ALT=\"highlight%28x=2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For Y-Intercept:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F%28x%29=0 ALIGN=MIDDLE  ALT=\"F%28x%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=4%280%29%5E2-14%280%29%2B7 ALIGN=MIDDLE  ALT=\"y=4%280%29%5E2-14%280%29%2B7\"   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=7%29 ALIGN=MIDDLE  ALT=\"highlight%28y=7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For the X-Intercepts: We solve the eqn:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=4%28x-2%29%5E2-9 ALIGN=MIDDLE  ALT=\"0=4%28x-2%29%5E2-9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9=4%28x-2%29%5E2 ALIGN=MIDDLE  ALT=\"9=4%28x-2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >------><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F4=cross%284%29%28x-2%29%5E2%2Fcross%284%29 ALIGN=MIDDLE  ALT=\"9%2F4=cross%284%29%28x-2%29%5E2%2Fcross%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2B-sqrt%289%2F4%29=x-2 ALIGN=MIDDLE  ALT=\"%2B-sqrt%289%2F4%29=x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2%2B-1.5 ALIGN=MIDDLE  ALT=\"x=2%2B-1.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > ----><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x=2%2B1.5=highlight%283.5%29%2Cx=2-1.5=highlight%280.50%29%29 ALIGN=MIDDLE  ALT=\"system%28x=2%2B1.5=highlight%283.5%29%2Cx=2-1.5=highlight%280.50%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "As you see in the graph:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-5%2C5%2C-15%2C15%2Cgrid%281%29%2Cgraph%28400%2C400%2C-5%2C5%2C-15%2C15%2C4x%5E2-16x%2B7%29%2Ccircle%283.5%2C0%2C.12%29%2Ccircle%280.5%2C0%2C0.12%29%2Cblue%28circle%282%2C-9%2C.12%29%29%2Cgreen%28circle%280%2C7%2C.12%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > ---->Vertex (2,-9)<BR>\n" );
document.write( "Thank you,<BR>\n" );
document.write( "Jojo<BR>\n" );
document.write( " </SPAN>\n" );
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