document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=88425>Question 88425</A>: <I><SPAN STYLE=\"word-break: break-all;\"> These problems came from my daughter's professor. If they are from a text, we do not know the ISBN.  \r<BR>\n" );
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document.write( "I am trying to help my daughter (35y.o) who is taking an Algebra course.  It has been 40+ years since I have done this type of math.  <BR>\n" );
document.write( "The questions are:\r<BR>\n" );
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document.write( "A. Graph the function f(x)=-3x+7. Be sure to properly label the graph, which includes labeling the axes and the line with its equation.  \r<BR>\n" );
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document.write( "B.  Graph the function f(x)=-3x(sq) +x -5. Same rule as above.  \r<BR>\n" );
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document.write( "I would appreciate any assistance.  This one really confused me.   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #64263 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=64263\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To graph functions you have to:<BR>\n" );
document.write( "1st: Determine a number of points.<BR>\n" );
document.write( "2nd: Plot the points on a coordinate system.<BR>\n" );
document.write( "3rd: Draw a line or smooth curve thru the points.<BR>\n" );
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document.write( "A. Graph the function f(x)=-3x+7. Be sure to properly label the graph, which includes labeling the axes and the line with its equation. <BR>\n" );
document.write( "Draw two lines perpendicular to each other.<BR>\n" );
document.write( "Label the vertical line \"y\" or f(x)<BR>\n" );
document.write( "Label the horizontal lin \"x\"<BR>\n" );
document.write( "Find two Points:<BR>\n" );
document.write( "If f(x) = 0, then 0 = -3x+7; 3x = 7; x= 7/3<BR>\n" );
document.write( "This gives you the point (7/3,0)<BR>\n" );
document.write( "If x = 0, the f(x) = -3*0+7; f(x) = 7<BR>\n" );
document.write( "This gives you the point (0,7)<BR>\n" );
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document.write( "Plot these two points and draw a line thru them; you should get the<BR>\n" );
document.write( "following graph:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C-3x%2B7%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C-3x%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "B. Graph the function f(x)=-3x^2 +x -5. Same rule as above.<BR>\n" );
document.write( "Same procedure but you need a few more points because the graph is a curve.<BR>\n" );
document.write( "If x=0, y=-5<BR>\n" );
document.write( "If x=1, y= -3+1-5=-7<BR>\n" );
document.write( "If x=2, y= -3*4-2-5 = -19<BR>\n" );
document.write( "If x=-1, y = -3*1 -1-5 = -9<BR>\n" );
document.write( "If x=-2, y = -3*4 -3-5 = -20<BR>\n" );
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document.write( "Plot these points; draw a smooth curve (a parabola) thru them to get the<BR>\n" );
document.write( "following graph:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C10%2C-20%2C05%2C-3x%5E2%2Bx-5%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-20%2C05%2C-3x%5E2%2Bx-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
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