document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1030562>Question 1030562</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For each quadratic function, state the vertex and then graph the function\r<BR>\n" );
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document.write( "Julie wants to place 44 ft of picket fencing around a garden so as to create the largest rectangular area possible.\r<BR>\n" );
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document.write( "A.) If x represents the width, write an algebraic expression that represents the length<BR>\n" );
document.write( "B.) Write a function rule, f(x), that models the area of the garden<BR>\n" );
document.write( "C.) What is the minimum point on the parabola?<BR>\n" );
document.write( "D.) Find the dimensions of the garden with the maximum area<BR>\n" );
document.write( "E.) What is the maximum area? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #645454 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=645454\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ): For each quadratic function, state the vertex and then graph the function<BR>\n" );
document.write( "Julie wants to place 44 ft of picket fencing around a garden so as to create the largest rectangular area possible.<BR>\n" );
document.write( "A.) If x represents the width, write an algebraic expression that represents the length<BR>\n" );
document.write( "The perimeter of the garden is 44 ft, therefore:<BR>\n" );
document.write( "2L + 2x = 44<BR>\n" );
document.write( "simplify, divide by 2<BR>\n" );
document.write( "L + x = 22<BR>\n" );
document.write( "L = -x+22, represents the length<BR>\n" );
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document.write( "B.) Write a function rule, f(x), that models the area of the garden<BR>\n" );
document.write( "f(x) = x(-x+22)<BR>\n" );
document.write( "f(x) = -x^2 + 22x<BR>\n" );
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document.write( "C.) What is the maximum point on the parabola? (Only maximum would make sense)<BR>\n" );
document.write( "the maximum point occurs on the axis of symmetry x = b/(2a)<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-22%29%2F%282%2A-1%29 ALIGN=MIDDLE  ALT=\"%28-22%29%2F%282%2A-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 11 ft is the x value for the max point<BR>\n" );
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document.write( "D.) Find the dimensions of the garden with the maximum area<BR>\n" );
document.write( "L = -11 + 22<BR>\n" );
document.write( "L = 11 ft, obviously, it is a square<BR>\n" );
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document.write( "E.) What is the maximum area? <BR>\n" );
document.write( "11^2 = 121 sq/ft </SPAN>\n" );
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