document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1188709>Question 1188709</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Select all of the following statements that apply to the function y = x^2 + 10x + 27.<BR>\n" );
document.write( "i) It has a minimum of 2<BR>\n" );
document.write( "ii) It has a maximum of 2<BR>\n" );
document.write( "iii) It has a maximum of 5.<BR>\n" );
document.write( "iv) It has a minimum of 5.<BR>\n" );
document.write( "v) It has zeros at x = 5 and x = 2.<BR>\n" );
document.write( "vi) It has no zeros.<BR>\n" );
document.write( "vii)It is translated 2 units up and 5 units to the left.<BR>\n" );
document.write( "viii) It is translated 2 units up and 5 units to the right. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #819859 by </B><A HREF=/tutors/aboutme.mpl?userid=Solver92311><B>Solver92311(821)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Solver92311><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=Solver92311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=819859\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=Solver92311&illustration_name=x_2_10x_27.jpg\">.\r<BR>\n" );
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document.write( "Even though the graph does not intersect the <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\">-axis, it is incorrect to say that the function has no zeros. All quadratics have two zeros, however, some quadratics, like this one, have complex zeros with non-zero imaginary parts.\r<BR>\n" );
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document.write( "																<BR>\n" );
document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=Solver92311&illustration_name=darwinfish.jpg\">\r<BR>\n" );
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document.write( "From <https://www.algebra.com/cgi-bin/upload-illustration.mpl> <BR>\n" );
document.write( "I > Ø<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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