document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=56536>Question 56536</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Complete the follwing function for g(x)=-4x^2+16x+19  Generate the graph and find the Vertex and x&y intercepts for the graph, show all work  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #38368 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=38368\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I think you forgot an x, so I plugged it in.<BR>\n" );
document.write( "Complete the follwing function for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=-4x%5E2%2B16x%2B19 ALIGN=MIDDLE  ALT=\"g%28x%29=-4x%5E2%2B16x%2B19\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Generate the graph and find the Vertex and x&y intercepts for the graph, show all work. <BR>\n" );
document.write( "Your quadratic equation is in standard form:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28f%28x%29=ax%5E2%2Bbx%2Bc%29 ALIGN=MIDDLE  ALT=\"highlight%28f%28x%29=ax%5E2%2Bbx%2Bc%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Your a=-4, b=16, c=19  (note: a is negative, so your parabola opens down.)<BR>\n" );
document.write( "First find the axis of symmetry, which is also the x value of the vertex using the formula <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=-b%2F2a%29 ALIGN=MIDDLE  ALT=\"highlight%28x=-b%2F2a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-%2816%2F%282%28-4%29%29%29 ALIGN=MIDDLE  ALT=\"x=-%2816%2F%282%28-4%29%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=x=-16%2F-8 ALIGN=MIDDLE  ALT=\"x=-16%2F-8\"   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 ALIGN=MIDDLE  ALT=\"x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  This is your axis of symmetry and x value of the vertex, to find the y value of the vertex find g(2):<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%282%29=-4%282%29%5E2%2B16%282%29%2B19 ALIGN=MIDDLE  ALT=\"g%282%29=-4%282%29%5E2%2B16%282%29%2B19\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%282%29=-4%284%29%2B16%282%29%2B19 ALIGN=MIDDLE  ALT=\"g%282%29=-4%284%29%2B16%282%29%2B19\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%282%29=-16%2B32%2B19 ALIGN=MIDDLE  ALT=\"g%282%29=-16%2B32%2B19\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%282%29=35 ALIGN=MIDDLE  ALT=\"g%282%29=35\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Your vertex is (2,35).  Plot that point.<BR>\n" );
document.write( "The y-intercept is found by letting x =0 and solve for y:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%280%29=-4%280%29%5E2%2B16%280%29%2B19 ALIGN=MIDDLE  ALT=\"g%280%29=-4%280%29%5E2%2B16%280%29%2B19\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%280%29=19 ALIGN=MIDDLE  ALT=\"g%280%29=19\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The y-intercept is (0,-19).<BR>\n" );
document.write( "The x-intercept is found by letting g(x)=0  and solving for x:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=-4x%5E2%2B16x%2B19 ALIGN=MIDDLE  ALT=\"0=-4x%5E2%2B16x%2B19\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This can't be factored, so use the quadratic formula to solve it:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29%29 ALIGN=MIDDLE  ALT=\"highlight%28x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%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=x=%28-%2816%29%2B-sqrt%28%2816%29%5E2-4%28-4%29%2819%29%29%29%2F%282%28-4%29%29 ALIGN=MIDDLE  ALT=\"x=%28-%2816%29%2B-sqrt%28%2816%29%5E2-4%28-4%29%2819%29%29%29%2F%282%28-4%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=x=%28-16%2B-sqrt%28256%2B304%29%29%2F-8 ALIGN=MIDDLE  ALT=\"x=%28-16%2B-sqrt%28256%2B304%29%29%2F-8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-16%2B-sqrt%28560%29%29%2F-8 ALIGN=MIDDLE  ALT=\"x=%28-16%2B-sqrt%28560%29%29%2F-8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-16%2B-sqrt%2816%29%2Asqrt%2835%29%29%2F-8 ALIGN=MIDDLE  ALT=\"x=%28-16%2B-sqrt%2816%29%2Asqrt%2835%29%29%2F-8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-16%2B-4%2Asqrt%2835%29%29%2F-8 ALIGN=MIDDLE  ALT=\"x=%28-16%2B-4%2Asqrt%2835%29%29%2F-8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-16-4%2Asqrt%2835%29%29%2F-8 ALIGN=MIDDLE  ALT=\"x=%28-16-4%2Asqrt%2835%29%29%2F-8\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-16%2B4%2Asqrt%2835%29%29%2F-8 ALIGN=MIDDLE  ALT=\"x=%28-16%2B4%2Asqrt%2835%29%29%2F-8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-4%284%2Bsqrt%2835%29%29%2F%28-4%2A2%29 ALIGN=MIDDLE  ALT=\"x=-4%284%2Bsqrt%2835%29%29%2F%28-4%2A2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-4%284-sqrt%2835%29%29%2F%28-4%2A2%29 ALIGN=MIDDLE  ALT=\"x=-4%284-sqrt%2835%29%29%2F%28-4%2A2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%284%2Bsqrt%2835%29%29%2F2 ALIGN=MIDDLE  ALT=\"x=%284%2Bsqrt%2835%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%284-sqrt%2835%29%29%2F2 ALIGN=MIDDLE  ALT=\"x=%284-sqrt%2835%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x~~4.958039892 and x~~-.9580398915<BR>\n" );
document.write( "The program is not responding to my attempts to regraph this.<BR>\n" );
document.write( "Plot the vertex(2,35), the y-int (0,19), the x-int (-.95,0) and (4.95,0) and connect the dots.  You should have an upside down parabola.<BR>\n" );
document.write( "Happy Calculating!!!\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );