document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=158077>Question 158077</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Help is need to solve this problem as attempts have been made for days without success. Thank you for the assistance.<BR>\n" );
document.write( "     ?) Consider the function f(x) = x^2 + 4x+ 1. Find the x-coordinate of the vertex of this parabola. Subsititue the two integers to the left and right of h into the function to find the corresponding y.<BR>\n" );
document.write( "     Below is an attempt to solve this problem.<BR>\n" );
document.write( "    x = (-b)/ 2a    a=1  b=4   c=1<BR>\n" );
document.write( "    x = (-4)/(2*1) <BR>\n" );
document.write( "    x = (-4)/2    <BR>\n" );
document.write( "    x = -2\r<BR>\n" );
document.write( "\n" );
document.write( "     </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #116470 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=116470\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Well, there's nothing wrong with what you have dome so far!<BR>\n" );
document.write( "The value of h can be found if your equation is in the \"vertex\" form: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+a%28x-h%29%5E2%2Bk ALIGN=MIDDLE  ALT=\"f%28x%29+=+a%28x-h%29%5E2%2Bk\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "In this form, the vertex is located at (h, k), and since you already have the x-coordintate of the vertex (x = -2), then h = -2.<BR>\n" );
document.write( "The problem states that you are to substitute the two integers to left and right of h into the funtion to find the corresponding y.<BR>\n" );
document.write( "Since h = -2, then the two integers to the left of h would have to be -3 and -4 while the two integers to the right of h would have to be -1 and 0<BR>\n" );
document.write( " So you substitute these integers, one-at-a-time into the function and solve for y.<BR>\n" );
document.write( "Let's start with x = -4:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-4%29+=+%28-4%29%5E2%2B4%28-4%29%2B1 ALIGN=MIDDLE  ALT=\"f%28-4%29+=+%28-4%29%5E2%2B4%28-4%29%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-4%29+=+16-16%2B1 ALIGN=MIDDLE  ALT=\"f%28-4%29+=+16-16%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-4%29+=+1 ALIGN=MIDDLE  ALT=\"f%28-4%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now x = -3:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-3%29+=+%28-3%29%5E2%2B4%28-3%29%2B1 ALIGN=MIDDLE  ALT=\"f%28-3%29+=+%28-3%29%5E2%2B4%28-3%29%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-3%29+=+9-12%2B1 ALIGN=MIDDLE  ALT=\"f%28-3%29+=+9-12%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-3%29+=+-2 ALIGN=MIDDLE  ALT=\"f%28-3%29+=+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You should be able to do the remaining ones yourself.<BR>\n" );
document.write( "If you still have trouble, please re-post. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );