document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=24734>Question 24734</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I REALLY NEED HELP WITH THESE QUESTIONS, ITS DUE TOMORROW AND I CANT SEEM TO GET THE ANSWERS TO THESE PROBELMS.. THANKS! \r<BR>\n" );
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document.write( "1) y=-3(x+5)^2-4<BR>\n" );
document.write( "a)Find the cordinates of the vertex<BR>\n" );
document.write( "b)Find the equation of the axis of symmetry<BR>\n" );
document.write( "c)Find the equation<BR>\n" );
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document.write( "2) Write in vertex form<BR>\n" );
document.write( "y=2x^2+12x-3<BR>\n" );
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document.write( "3)For the quadrate relation 2x^2+x-15=0<BR>\n" );
document.write( "a)Determine the number of roots<BR>\n" );
document.write( "b)Solve<BR>\n" );
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document.write( "4)Describe and transform y=x^2 to obtain the graph of y=1/2(x+6)^2+12<BR>\n" );
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document.write( "5)Graph the following quadratic below<BR>\n" );
document.write( "a)y=(x+2)^2-1<BR>\n" );
document.write( "b)y=-2(x+3)^2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #13188 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=13188\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> #1: Change to the form y-k = 4p(x-h)^2<BR>\n" );
document.write( "which is a parabola opening up.<BR>\n" );
document.write( "your equation becomes y+4=-3(x+5)^2<BR>\n" );
document.write( "Vertex is h=-5; k=-4<BR>\n" );
document.write( "Axis of symmetry is x=-5\r<BR>\n" );
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document.write( "#2: y=2(x^2+6x)-3<BR>\n" );
document.write( "Create the form y-k=4p(x-h)^2<BR>\n" );
document.write( "  y+3= 2(x^2+6x+9)-18<BR>\n" );
document.write( "  y+21=2(x+3)^2<BR>\n" );
document.write( "This is the \"vertex form\" you want.\r<BR>\n" );
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document.write( "#3: Use the determinant (b^2-4ac) to see how many real<BR>\n" );
document.write( "number roots you have.  Find the roots by using the <BR>\n" );
document.write( "quadratic equation.\r<BR>\n" );
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document.write( "#4: x^2 becomes (x+6)^2 when you shift \"6\" to the left<BR>\n" );
document.write( "    Multiplying by 1/2 will stretch the (x+6)^2<BR>\n" );
document.write( "    Adding 12 will give the (1/2)(x+6)^2 a vertical shift up.\r<BR>\n" );
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document.write( "#5: Rewrite as y+1=(x+2)^2<BR>\n" );
document.write( "    which has vertex at (-2,-1)<BR>\n" );
document.write( "I'll leave the last part of #5 to you.\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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