document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=183832>Question 183832</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395977258/algebrahomeworkh>Algebra and Trigonometry Structure and Method book 2</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I have been working on this math problem and I can't figure it out. I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!!\r<BR>\n" );
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document.write( "Writing Quadratic Equations and Functions<BR>\n" );
document.write( "Find a quadratic function F(x)=ax^2+bx+c for each parabola described.<BR>\n" );
document.write( "maximum value 6 when x=-2; one zero is 1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #137944 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=137944\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find a quadratic function F(x)=ax^2+bx+c for each parabola described.<BR>\n" );
document.write( "maximum value 6 when x=-2; one zero is 1<BR>\n" );
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document.write( "Maximum occurs when x = -b/2a<BR>\n" );
document.write( "So, you have -b/2a = -2<BR>\n" );
document.write( "b = 4a<BR>\n" );
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document.write( "Substitute and you have <BR>\n" );
document.write( "f(x) = ax^2 +(4a)x + c<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Then f(-2) = 4a -8a + c = 6<BR>\n" );
document.write( "c  = 4a + 6<BR>\n" );
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document.write( "Substitute to get:<BR>\n" );
document.write( "f(x) ax^2 +(4a)x + 4a + 6<BR>\n" );
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document.write( "Then f(1) = a + 4a + 4a + 6 = 1<BR>\n" );
document.write( "9a + 6 = 1<BR>\n" );
document.write( "9a = -5<BR>\n" );
document.write( "a = -5/9<BR>\n" );
document.write( "---<BR>\n" );
document.write( "b = 4a = -20/9<BR>\n" );
document.write( "---<BR>\n" );
document.write( "c = 4a+6 = -20/9 + 54/9 = 34/9<BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "y = (-5/9)x^2 -(20/9)x + (34/9)\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "========================================<BR>\n" );
document.write( " </SPAN>\n" );
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