document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=184550>Question 184550</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm can't figure out how to create a quadratic equation out of the vertex and a point that it must pass through. All i've managed so far is some trial and error and come up with this.<BR>\n" );
document.write( "y=2(x+2)²+4<BR>\n" );
document.write( "From the vertex of (-2,4) and passing through (-1,8).<BR>\n" );
document.write( "I have been fiddling around with it and have two ideas how to proceed.<BR>\n" );
document.write( "I could change (x+2) to something else to move it along the x axis or change the first part of it to change the fatness or whichever you want to call it of the parabola.  Regardless i figure there is a better way to do it other then trial and error, if it has been answered before i'm sorry I didn't see it. I'm self taught and this is the first time I really have had any problem. \r<BR>\n" );
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document.write( "-Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #138523 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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=138523\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y=2(x+2)²+4<BR>\n" );
document.write( "y=2(x^2+4x+4)+4<BR>\n" );
document.write( "y=2x^2+8x+8+4<BR>\n" );
document.write( "y=2x^2+8x+12<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+2x%5E2+%2B8x+%2B12%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+2x%5E2+%2B8x+%2B12%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 2x^2 +8x +12).<BR>\n" );
document.write( "Using the x=-2 value we get:<BR>\n" );
document.write( "y=2(-2+2)^2+4<BR>\n" );
document.write( "y=2*0+4<BR>\n" );
document.write( "y=4 ans.<BR>\n" );
document.write( "(-2,4) is the vertex.<BR>\n" );
document.write( "If x=-4 then:<BR>\n" );
document.write( "y=2(-4+2)^2+4<BR>\n" );
document.write( "y=2*-2^2+4<BR>\n" );
document.write( "y=2*4+4<BR>\n" );
document.write( "y=8+4<BR>\n" );
document.write( "y=12<BR>\n" );
document.write( "(-4,12) is another point on the parabola. </SPAN>\n" );
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