document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=941453>Question 941453</A>: <I><SPAN STYLE=\"word-break: break-all;\"> chart which shows at least three ordered pairs for the function <BR>\n" );
document.write( "y = x^2 - 2x + 2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #573868 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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/cgi-bin/show-face.mpl?user=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=573868\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y = x^2 - 2x + 2<BR>\n" );
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document.write( "find the roots:<BR>\n" );
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document.write( "x^2 - 2x + 2 = 0<BR>\n" );
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document.write( "the above quadratic equation is in standard form, with a=1, b=-2 and c=2<BR>\n" );
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document.write( "to solve the quadratic equation, by using the quadratic formula, copy and paste this:<BR>\n" );
document.write( "1 -2 2<BR>\n" );
document.write( "into this solver: https://sooeet.com/math/quadratic-equation-solver.php<BR>\n" );
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document.write( "the quadratic has two complex roots at:<BR>\n" );
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document.write( "y = 1 + (1)i<BR>\n" );
document.write( "y = 1 - (1)i<BR>\n" );
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document.write( "therefore the function does not intersect the x-axis:<BR>\n" );
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document.write( "however, the function has a vertex minimum at: (1, 1)<BR>\n" );
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document.write( "two other points on the function are:<BR>\n" );
document.write( "x = 0<BR>\n" );
document.write( "y = 2<BR>\n" );
document.write( "(0, 2)<BR>\n" );
document.write( "and<BR>\n" );
document.write( "x = 2<BR>\n" );
document.write( "y = 2<BR>\n" );
document.write( "(2, 2)<BR>\n" );
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document.write( "the graph:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-4%2C+6%2C+-2%2C+20%2C+x%5E2+-+2x+%2B+2+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-4%2C+6%2C+-2%2C+20%2C+x%5E2+-+2x+%2B+2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Free algebra tutoring live chat:<BR>\n" );
document.write( "https://sooeet.com/chat.php?gn=algebra<BR>\n" );
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document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
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document.write( "Solve quadratic equations with quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
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document.write( "Solve systems of linear equations up to 6-equations 6-variables:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );