document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=705760>Question 705760</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Someone PLEASE help me!I'm am all sorts of confused on these. Can anyone help me out and show me how do get to these? \r<BR>\n" );
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document.write( "1. Given the following quadratic equation, find<BR>\n" );
document.write( "a. the vertex<BR>\n" );
document.write( "b. the axis of symmetry<BR>\n" );
document.write( "c. the intercepts<BR>\n" );
document.write( "d. the domain<BR>\n" );
document.write( "e. the range<BR>\n" );
document.write( "f. the interval where the function is increasing, and<BR>\n" );
document.write( "g. the interval where the function is decreasing<BR>\n" );
document.write( "h. Graph the function.\r<BR>\n" );
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document.write( "y=-x^2+2x+8\r<BR>\n" );
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document.write( "2.  Given the following rational function, find <BR>\n" );
document.write( "a. the horizontal asymptote(s),  <BR>\n" );
document.write( "b. the vertical asymptote(s), if any, and<BR>\n" );
document.write( "c. the oblique asymptote(s), if any.<BR>\n" );
document.write( "f(x)=6/(x-5) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #434780 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=434780\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. Given the following quadratic equation<BR>\n" );
document.write( "y = -x^2+2x+8<BR>\n" );
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document.write( "y = -(x^2-2x+?) + 8 + ?<BR>\n" );
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document.write( "y = -(x^2-2x+1) + 8 + 1<BR>\n" );
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document.write( "y = -(x-1)^2 + 9<BR>\n" );
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document.write( "a. the vertex::(1,9)<BR>\n" );
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document.write( "b. the axis of symmetry:: x = 1<BR>\n" );
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document.write( "c. the intercepts<BR>\n" );
document.write( "x-int: <BR>\n" );
document.write( "Solve -x^2+2x+8 = 0<BR>\n" );
document.write( "x = [-2 +- sqrt(2^2-4*-1*8)]/(-2)<BR>\n" );
document.write( "x = [-2 +- sqrt(4+32)]/(-2)<BR>\n" );
document.write( "x = [-2 +- 6]/(-2)<BR>\n" );
document.write( "x = 4 or x = -2<BR>\n" );
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document.write( "y-int:<BR>\n" );
document.write( "Let x = 0, then y = 8<BR>\n" );
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document.write( "d. the domain:: All Real Numbers<BR>\n" );
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document.write( "e. the range:: y <= 9<BR>\n" );
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document.write( "f. the interval where the function is increasing:: x < 1<BR>\n" );
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document.write( "g. the interval where the function is decreasing:: x > 1<BR>\n" );
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document.write( "h. Graph the function. <BR>\n" );
document.write( "y=-x^2+2x+8<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-10%2C10%2C-10%2C15%2C-x%5E2%2B2x%2B8%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-10%2C10%2C-10%2C15%2C-x%5E2%2B2x%2B8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "2.  Given the following rational function<BR>\n" );
document.write( "f(x)=6/(x-5)<BR>\n" );
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document.write( "a. the horizontal asymptote(s):: y = 0/1 = 0<BR>\n" );
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document.write( "b. the vertical asymptote(s):: x = 5<BR>\n" );
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document.write( "c. the oblique asymptote(s):: none<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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