document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1110291>Question 1110291</A>: <I><SPAN STYLE=\"word-break: break-all;\"> With the given parabola and slope of a line that is tangent to the parabola, find the y-int of the tangent line.\r<BR>\n" );
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document.write( "f(x)=2x^2+2x-5, tangent line has slope 1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #725292 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=725292\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> With the given parabola and slope of a line that is tangent to the parabola, find the y-int of the tangent line. <BR>\n" );
document.write( "f(x)=2x^2+2x-5, tangent line has slope 1<BR>\n" );
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document.write( "slope at every point = f'(x) = 4x+2<BR>\n" );
document.write( "If slope = 1, 4x+2 = 1 and x = -1/4<BR>\n" );
document.write( "If x = -1/4, y = 2(-1/4)^2+2(-1/4)-5 = 2(1/16)-(8/16)-(80/16) = -86/16 = -4.775<BR>\n" );
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document.write( "Find the Equation::<BR>\n" );
document.write( "Form:: y = mx+b<BR>\n" );
document.write( "Solve for \"b\" if x = -1/4, y = -4.775, and m = 1<BR>\n" );
document.write( "-4.775 = 1*(-0.25) + b<BR>\n" );
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document.write( "Ans:: b = -4.525<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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