document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=149294>Question 149294</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0495294616/algebrahomeworkh>college algebra </A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> i need help understanding step by step with these problems they are all odd in my book answers are in the back of book i would like to know how to solve them not just the answer. thanks a bunch.\r<BR>\n" );
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document.write( "(#33-47) Sketch the graph of the function, not by plotting points,but by starting with teh graph of a standard function and applying transofrmation. \r<BR>\n" );
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document.write( "#33....f(x)= (x-2)^2 (the answer is a parabola going upward)<BR>\n" );
document.write( "#35....f(x)= - (x+1)^2 (the answer is a parabola going downward)<BR>\n" );
document.write( "#37....f(x)= x^3 +2 (the answer is a wiggly line from neg side to positive side like a snake)<BR>\n" );
document.write( "#39....y = 1 + sqrt of (x)(the answer is half of a line on the positive side)<BR>\n" );
document.write( "#41...y = (1)/(2) squaroot (x+4)  then minus 3 (the answer is a closed circle going from negative side to negative side on the positive side)<BR>\n" );
document.write( "#43....y = 5 + (x +3)^2 (the answer is a parabola on the negative positive side)<BR>\n" );
document.write( "#45...y = /x/ - 1 (the answer is shape like a \"v\")<BR>\n" );
document.write( "$47...y = /x + 2 / +2 (the answer is shape like a \"v\" just not touching the (0,0)) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #109523 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=109523\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i need help understanding step by step with these problems they are all odd in my book answers are in the back of book i would like to know how to solve them not just the answer. thanks a bunch. <BR>\n" );
document.write( "(#33-47) Sketch the graph of the function, not by plotting points,but by starting with the graph of a standard function and applying transformation.<BR>\n" );
document.write( "The standard form you want is y = x^2 which is a parabola opening upward<BR>\n" );
document.write( "with its vertex at (0,0)<BR>\n" );
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document.write( "#33....f(x)= (x-2)^2 (the answer is a parabola going upward)<BR>\n" );
document.write( "The graph of this function is the same as y = x^2 but each point<BR>\n" );
document.write( "is moved 2 to the right; for example the vertex is now at (2,0)<BR>\n" );
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document.write( "#35....f(x)= - (x+1)^2 (the answer is a parabola going downward)<BR>\n" );
document.write( "This sketch is y = x^2 flipped over on the x-axis so it opens<BR>\n" );
document.write( "downward, with each point moved 1 to the left so the vertex is<BR>\n" );
document.write( "now at (-1,0)<BR>\n" );
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document.write( "#37....f(x)= x^3 +2 (the answer is a wiggly line from neg side to positive side like a snake)<BR>\n" );
document.write( "The standard graph is that of y = x^3.<BR>\n" );
document.write( "Your graph looks like the standard graph but each point is 2 higher.<BR>\n" );
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document.write( "#39....y = 1 + sqrt of (x)(the answer is half of a line on the positive side)<BR>\n" );
document.write( "The standard is y = sqrt(x)<BR>\n" );
document.write( "Yours has all points moved 1 higher<BR>\n" );
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document.write( "#41...y = (1/2)sqrt(x+4) then minus 3 (the answer is a closed circle going from negative side to negative side on the positive side)<BR>\n" );
document.write( "The standard graph is y = sqrt(x)<BR>\n" );
document.write( "Yours has all points moved 4 to the left, the standard's y-values are multiplied<BR>\n" );
document.write( "by (1/2).<BR>\n" );
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document.write( "#43....y = 5 + (x +3)^2 (the answer is a parabola on the negative positive side)<BR>\n" );
document.write( "The standard is y = x^2.<BR>\n" );
document.write( "Yours has all points moved 3 to the left then 5 added to their y value.<BR>\n" );
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document.write( "#45...y = /x/ - 1 (the answer is shape like a \"v\")<BR>\n" );
document.write( "The standard is y = |x|<BR>\n" );
document.write( "Yours lowers each point by 1.<BR>\n" );
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document.write( "$47...y = /x + 2 / +2 (the answer is shape like a \"v\" just not touching the (0,0))<BR>\n" );
document.write( "Standard is y = |x|<BR>\n" );
document.write( "Yours has all point moved 2 to the left then raised by 2.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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