document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=55980>Question 55980</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, I am having a lot of trouble in algebra II right now with graphing parabolas. Could you do me a favor, and write out the steps in graphing a parabola. For example: Step 1: (blah blah blah) <BR>\n" );
document.write( "                       Step 2: (...)<BR>\n" );
document.write( "Maybe an example problem would be: x(squared)=8y\r<BR>\n" );
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document.write( "Thanks again. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #37982 by </B><A HREF=/tutors/aboutme.mpl?userid=Lacey020991><B>Lacey020991(49)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Lacey020991><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=37982\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Step 1: Find the parent graph (in this case it is y=x^2)<BR>\n" );
document.write( "Step 2: If it has a number after the x^2 the the graph moves up and down <BR>\n" );
document.write( "--------Ex. y=x^2+3 (the red line is the original and the green is the new)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-6%2C6%2C-6%2C6%2Cx%5E2%2Cx%5E2%2B3%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-6%2C6%2C-6%2C6%2Cx%5E2%2Cx%5E2%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Step 3: If the equation has a number infront of the x^2 then it changes the slope by that number. (called a vertical stretch)<BR>\n" );
document.write( "--------Ex. y=3x^2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-6%2C6%2C-6%2C6%2Cx%5E2%2C3x%5E2%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-6%2C6%2C-6%2C6%2Cx%5E2%2C3x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Step 4: if it has a number in parenthesis with the x and whole thing is squared the it moves the graph left or right. If it's a negative number it moves it right. If it's a positive number it moves the graph left.<BR>\n" );
document.write( "-------Ex. y=(x+3)^2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-6%2C6%2C-6%2C6%2Cx%5E2%2C%28x%2B3%29%5E2%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-6%2C6%2C-6%2C6%2Cx%5E2%2C%28x%2B3%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Step 5: If it has a negative infront of it, then the graph flips upside down.<BR>\n" );
document.write( "-------Ex.-x^2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-6%2C6%2C-6%2C6%2Cx%5E2%2C-x%5E2%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-6%2C6%2C-6%2C6%2Cx%5E2%2C-x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Now heres and example with all of the steps:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "y = -3(x-2)^2 + 1<BR>\n" );
document.write( "the negative flips the graph<BR>\n" );
document.write( "the 3 make a veritcal stretch by factor of 3<BR>\n" );
document.write( "the 2 in the parenthesis moves the graph right 2<BR>\n" );
document.write( "the one at the end moves the graph up one<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-8%2C8%2C-8%2C8%2Cx%5E2%2C-3%28x-2%29%5E2%2B1%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-8%2C8%2C-8%2C8%2Cx%5E2%2C-3%28x-2%29%5E2%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "If any of this confused you just let me know and ill try to explain it better. </SPAN>\n" );
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