document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=369244>Question 369244</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Graph the quadratic function f(x)=7(x+1)^2+4: state the ordeed pairs representing the x-intercept and y-intercept (if any) and the vertex or the parabola. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #263111 by </B><A HREF=/tutors/aboutme.mpl?userid=lefty4ever26><B>lefty4ever26(59)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lefty4ever26><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=lefty4ever26><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=263111\">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=f%28x%29=7%28x%2B1%29%5E2%2B4 ALIGN=MIDDLE  ALT=\"f%28x%29=7%28x%2B1%29%5E2%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >  I simplified it by FOILing the (x+1)^2 and multiplying 7 thru giving me\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=7x%5E2%2B14x%2B11 ALIGN=MIDDLE  ALT=\"f%28x%29=7x%5E2%2B14x%2B11\"   DISABLED_style= \"max-width:90%; height:auto;\" >  The x-intercept occurs when f(x)=0.  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=7x%5E2%2B14x%2B11 ALIGN=MIDDLE  ALT=\"0=7x%5E2%2B14x%2B11\"   DISABLED_style= \"max-width:90%; height:auto;\" > Using the determinate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28b%5E2-4ac%29 ALIGN=MIDDLE  ALT=\"sqrt%28b%5E2-4ac%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > plugging in 7,14,11 for a,b,c.  you determine that There is no x intercept because you can't take the square root of a negative number.\r<BR>\n" );
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document.write( "The y intercept is found when x=0. So plug in 0 for any x.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%280%29%5E2%2B14%280%29%2B11=11 ALIGN=MIDDLE  ALT=\"7%280%29%5E2%2B14%280%29%2B11=11\"   DISABLED_style= \"max-width:90%; height:auto;\" > SO  the y intercept is at (0,11)\r<BR>\n" );
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document.write( "To find the vertex take the derivative of f(x) to get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%27%28x%29=14x%2B14 ALIGN=MIDDLE  ALT=\"f%27%28x%29=14x%2B14\"   DISABLED_style= \"max-width:90%; height:auto;\" > set equal to 0 and solve for x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=14x%2B14 ALIGN=MIDDLE  ALT=\"0=14x%2B14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-1 ALIGN=MIDDLE  ALT=\"x=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Solve f(-1)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-1%29=7-14%2B11=4 ALIGN=MIDDLE  ALT=\"f%28-1%29=7-14%2B11=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > So your vertex is at (-1,4) which is illustrated in the following graph<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-5%2C5%2C-1%2C15%2C7%28x%2B1%29%5E2%2B4%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-5%2C5%2C-1%2C15%2C7%28x%2B1%29%5E2%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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