document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=188488>Question 188488</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the vertex, x-intercept, and y-intercept of the parabola given by y=7x^2+21x-378 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #141303 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=141303\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "Slight error in the wording of your problem.  Should have been:\r<BR>\n" );
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document.write( "\"Find the vertex, x-intercept<i><b>s</b></i>, and y-intercept of the parabola given by <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large y=7x^2+21x-378\">\"\r<BR>\n" );
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document.write( "To find the vertex of a parabola whose equation is of the form:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  f(x) = y = ax^2 + bx + c\">\r<BR>\n" );
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document.write( "First find the <i>x</i>-coordinate of the vertex given by <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x_V = -\frac{b}{2a} \">\r<BR>\n" );
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document.write( "Then find the <i>y</i>-coordinate by calculating the value of the function at the <i>x</i>-coordinate of the vertex:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \   y_V = f(-\frac{b}{2a}) = a(-\frac{b}{2a})^2 + b(-\frac{b}{2a}) + c\">\r<BR>\n" );
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document.write( "To find the <i>x</i>-intercepts, i.e. the points where the value of the function, <i>y</i>, is zero, set the function equal to zero and solve the quadratic either by factoring, completing the square, or using the quadratic formula.\r<BR>\n" );
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document.write( "To find the <i>y</i>-intercept, i.e. the point where the graph intersects the <i>y</i>-axis -- and the point where the value of the independent variable is zero, substitute 0 for <i>x</i>.  For a quadratic function in standard form, the point is always (0,<i>c</i>).\r<BR>\n" );
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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" );
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