document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=588217>Question 588217</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have tried to do this question a a lot of time but My answer and the Graph is not coming the Right way... so please help me.<BR>\n" );
document.write( "this is the Question:<BR>\n" );
document.write( "Concavity of the parabola representing the quadratic function, its y intercept and x intercepts if any exist, and the coordinates of the vertex. sketch the parabola  <BR>\n" );
document.write( "f(x)=2x^2+4. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #374455 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=374455\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Concavity of the parabola representing the quadratic function, its y intercept and x intercepts if any exist, and the coordinates of the vertex. sketch the parabola<BR>\n" );
document.write( "f(x) = 2x^2 + 4<BR>\n" );
document.write( "y = 2x^2 + 4<BR>\n" );
document.write( "the y intercept is easy, when x = 0, y = 4 is the y intercept<BR>\n" );
document.write( "Find the x intercept, (when y = 0)<BR>\n" );
document.write( "2x^2 + 4 = 0<BR>\n" );
document.write( "2x^2 = -4<BR>\n" );
document.write( "x^2 = -4/2<BR>\n" );
document.write( "x^2 = -2<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28-2%29 ALIGN=MIDDLE  ALT=\"sqrt%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "square root of a negative, no real roots, no x intercept<BR>\n" );
document.write( ":<BR>\n" );
document.write( "The vertex occurs at the axis of symmetry, equation has no middle term, b=0<BR>\n" );
document.write( "therefore the axis of symmetry is 0, hence the vertex, 0, 4<BR>\n" );
document.write( ":<BR>\n" );
document.write( "If can you plot this equation, it is easy to see<BR>\n" );
document.write( ":<BR>\n" );
document.write( " x | y<BR>\n" );
document.write( "-------  2x^2 + 4 = y; substitute for x, find y<BR>\n" );
document.write( "-2 | 12; 2(-2^2) + 4 = 2(4) + 4 = 12<BR>\n" );
document.write( "-1 | 6:  2(-1^2) + 4 = 2(1) + 4 = 6<BR>\n" );
document.write( " 0 | 4;  2(0) + 4 = 4<BR>\n" );
document.write( "+1 | 6<BR>\n" );
document.write( "+2 |12<BR>\n" );
document.write( ":\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-4%2C+4%2C+-2%2C+10%2C+2x%5E2%2B4%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-4%2C+4%2C+-2%2C+10%2C+2x%5E2%2B4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );