document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1207030>Question 1207030</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the vertex of y=3x^2+18x+24 </SPAN>\n" );
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document.write( "Answer: <font color=red>(-3, -3)</font>\r<BR>\n" );
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document.write( "Explanation\r<BR>\n" );
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document.write( "Compare y=3x^2+18x+24 to the template y = ax^2+bx+c<BR>\n" );
document.write( "a = 3<BR>\n" );
document.write( "b = 18<BR>\n" );
document.write( "c = 24\r<BR>\n" );
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document.write( "The vertex is located at (h,k)<BR>\n" );
document.write( "Let's determine the x coordinate of the vertex.<BR>\n" );
document.write( "h = -b/(2a)<BR>\n" );
document.write( "h = -18/(2*3)<BR>\n" );
document.write( "h = -3\r<BR>\n" );
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document.write( "Plug this into the equation to find the y coordinate of the vertex.<BR>\n" );
document.write( "y = 3x^2+18x+24<BR>\n" );
document.write( "y = 3*(-3)^2+18(-3)+24<BR>\n" );
document.write( "y = -3\r<BR>\n" );
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document.write( "The vertex is located at (h,k) = <font color=red>(-3, -3)</font>\r<BR>\n" );
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document.write( "We go from vertex form<BR>\n" );
document.write( "y = a(x-h)^2 + k<BR>\n" );
document.write( "to<BR>\n" );
document.write( "y = 3(x-(-3))^2 + (-3)<BR>\n" );
document.write( "y = 3(x + 3)^2  - 3<BR>\n" );
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