document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1104321>Question 1104321</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 5. The graph of a function y= f(x), for -6 < or equal to x < or equal to -2. <BR>\n" );
document.write( "The points (-6, 6) and (-2, 6) lie on the graph of f. There is a minimum point at (-4,0). \r<BR>\n" );
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document.write( "a. Write down the range of f. \r<BR>\n" );
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document.write( "b. Let g(x)=f(x-5). <BR>\n" );
document.write( "Sketch the graph of g<BR>\n" );
document.write( "c. Write down the domain of g.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #719076 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=719076\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The graph of a function y= f(x), for -6 < or equal to x < or equal to -2. <BR>\n" );
document.write( "The points (-6, 6) and (-2, 6) lie on the graph of f. There is a minimum point at (-4,0).<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Plot those points and you will see a parabola will fit the points. <BR>\n" );
document.write( "Because the minimum is at (-4,0), y = a(x+4)^2<BR>\n" );
document.write( "Solve for \"a\" using (-2,6)<BR>\n" );
document.write( "6 = a(2)^2<BR>\n" );
document.write( "a = 3/2<BR>\n" );
document.write( "Equation:: y = (3/2)(x+4)^2<BR>\n" );
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document.write( "a. Write down the range of f.<BR>\n" );
document.write( "Parabola opening up has range: 0<= y < oo<BR>\n" );
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document.write( "b. Let g(x)=f(x-5).<BR>\n" );
document.write( "g(x) = f(x-5) = (3/2)(x-5+4)^2 = (3/2)(x-1)^2 <BR>\n" );
document.write( "Sketch the graph of g<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-10%2C10%2C-10%2C20%2C%283%2F2%29%28x-1%29%5E2%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-10%2C10%2C-10%2C20%2C%283%2F2%29%28x-1%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "c. Write down the domain of g.<BR>\n" );
document.write( "All Real Numbers<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "--------  </SPAN>\n" );
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