document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=29169>Question 29169</A>: <I><SPAN STYLE=\"word-break: break-all;\"> could someone please help me?<BR>\n" );
document.write( "solve by graphing:<BR>\n" );
document.write( "x^2-4x+3=0\r<BR>\n" );
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document.write( "and -x^2+6x-5=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #15985 by </B><A HREF=/tutors/aboutme.mpl?userid=Nate><B>Nate(3500)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Nate><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=15985\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Your Question:solve by graphing:<BR>\n" );
document.write( "x^2-4x+3=0<BR>\n" );
document.write( "and -x^2+6x-5=0<BR>\n" );
document.write( "--------------------------------------------------------------------<BR>\n" );
document.write( "We know that these are parabolas, so the graph will be \"U\" shaped!<BR>\n" );
document.write( "Here is an easy way:<BR>\n" );
document.write( "To find vertex it is (-b/2a,y). The vertex is the lowest or highest point in the parabola.<BR>\n" );
document.write( "To find a and b and c, it is like this ax^2+bx+c=0. C just tells the y-intercept.<BR>\n" );
document.write( "So, in x^2-4x+3=0, a=1, b=-4, and c=3.<BR>\n" );
document.write( "vertext=(-b/2a,y)=((4/2),y)=(2,y)<BR>\n" );
document.write( "To find y in the ordered pair for the vertex, you would plug in the x value in the ordered pair.<BR>\n" );
document.write( "x^2-4x+3----original form<BR>\n" );
document.write( "(2)^2-4(2)+3----plugging in the 2 for x from the vertex<BR>\n" );
document.write( "(4)-8+3-----simplify<BR>\n" );
document.write( "-1----answer<BR>\n" );
document.write( "so the vertex is (2,-1)<BR>\n" );
document.write( "Now we pick some ordered pairs. When the x value for an ordered pair is 3, we get (3,0). Other ordered pairs:(1,0)(4,3)(0,3)<BR>\n" );
document.write( "Now, graph those points and connect to get a \"U\" (parabola.)<BR>\n" );
document.write( "Since the equation is equal to zero, the answers are the points that touch the x-axis on the parabola. The answers are 1 and 3!<BR>\n" );
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document.write( "I will do the same for the other equation, but shorter.<BR>\n" );
document.write( "-x^2+6x-5=0<BR>\n" );
document.write( "Vertex(3,4)<BR>\n" );
document.write( "Other points:(2,3)(4,3)(1,0)(5,0)<BR>\n" );
document.write( "Since the equation is equal to zero, the answers are the points that touch the x-axis on the parabola. The answers are 1 and 5!\r<BR>\n" );
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document.write( " </SPAN>\n" );
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