document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=62167>Question 62167</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/321233867/algebrahomeworkh>Intermediate Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Find the vertex, axis of symmetry, maximum value or minimum value, x and y intercepts.\r<BR>\n" );
document.write( "\n" );
document.write( "f(x)=-3/11(x-7)2-9 </SPAN>\n" );
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document.write( "f(x)=-3/11(x-7)2-9<BR>\n" );
document.write( "Rewrite as :<BR>\n" );
document.write( "y+9=(-3/11)(x-7)^2<BR>\n" );
document.write( "This follows the form y-k=a(x-h)^2<BR>\n" );
document.write( "Vertex is (h,k)=(7,-9)<BR>\n" );
document.write( "Axis of symmetry is x=h so : x=7<BR>\n" );
document.write( "Since a is negative the parabola opens down<BR>\n" );
document.write( "which gives a maximum value at the vertex.<BR>\n" );
document.write( "Let x=0 to find the y-intercept: y=-78/11<BR>\n" );
document.write( "Let y=0 to find the x-intercepts:<BR>\n" );
document.write( "(-3/11)(x-7)^2=9<BR>\n" );
document.write( "(x-7)^2=-33<BR>\n" );
document.write( "Means x is complex; so no x intercepts<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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