document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1174347>Question 1174347</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello! I need some help with this equation. \r<BR>\n" );
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document.write( "Solve y = 2x^2 + 1 when x = -2.\r<BR>\n" );
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document.write( "I got y= -7, but am unsure if it is the correct answer. Any assistance would be greatly appreciated! </SPAN>\n" );
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document.write( "This might be overkill, but think of x as (x)\r<BR>\n" );
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document.write( "So we're dealing with y = 2(x)^2 + 1\r<BR>\n" );
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document.write( "Replace every copy of x with -2 and evaluate to get\r<BR>\n" );
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document.write( "y = 2(x)^2 + 1<BR>\n" );
document.write( "y = 2(-2)^2 + 1<BR>\n" );
document.write( "y = 2(-2)*(-2) + 1<BR>\n" );
document.write( "y = 2(4) + 1<BR>\n" );
document.write( "y = 8 + 1<BR>\n" );
document.write( "<font color=red>y = 9</font>\r<BR>\n" );
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document.write( "I have a feeling your steps probably looked like this<BR>\n" );
document.write( "y = 2x^2 + 1<BR>\n" );
document.write( "y = 2(-2)^2 + 1<BR>\n" );
document.write( "y = 2(-4) + 1<BR>\n" );
document.write( "y = -8 + 1<BR>\n" );
document.write( "y = -7<BR>\n" );
document.write( "Which is not correct because (-2)^2 is equal to positive 4, and not negative 4.<BR>\n" );
document.write( "Think of (-2)^2 as (-2)*(-2) = 4. The two negatives multiply to a positive.<BR>\n" );
document.write( "In short, we're squaring all of the value and that includes the negative.\r<BR>\n" );
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document.write( "Answer:  <font color=red>y = 9</font><BR>\n" );
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