document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=85834>Question 85834</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Y=2(x-1)^2+3\r<BR>\n" );
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document.write( "Find x-intercepts.  \r<BR>\n" );
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document.write( "Can you please show me how to find the x-intercepts.  I know the vertex is 1,3. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #62026 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=62026\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Y=2(x-1)^2+3\r<BR>\n" );
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document.write( "Find x-intercepts.  <BR>\n" );
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document.write( "Let y= 0 and solve for x:<BR>\n" );
document.write( "2(x-1)^2+3 = 0<BR>\n" );
document.write( "(x-1)^2 = -3/2<BR>\n" );
document.write( "Since the square equals a negative value<BR>\n" );
document.write( "x-1 is a complex number (not a Real Number).<BR>\n" );
document.write( "So the x-intercepts are complex.<BR>\n" );
document.write( "The graph of your function does not cross the x-axis.<BR>\n" );
document.write( "There are no x-intercepts.<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%2C2%28x-1%29%5E2%2B3%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C2%28x-1%29%5E2%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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