document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=356316>Question 356316</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the vertex of the parabola given by the function f(x) = 2x^2 + 3, expressing non-integer values in fractional form. State whether the parabola opens up or down </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #254365 by </B><A HREF=/tutors/aboutme.mpl?userid=CharlesG2><B>CharlesG2(834)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CharlesG2><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=254365\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the vertex of the parabola given by the function f(x) = 2x^2 + 3, expressing non-integer values in fractional form. State whether the parabola opens up or down\r<BR>\n" );
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document.write( "f(x) = 2x^2 + 3 this is of form f(x) = ax^2 + bx + c,<BR>\n" );
document.write( "where a = 2, b = 0, c = 3,<BR>\n" );
document.write( "a = 2 is positive, so the parabola does open upwards\r<BR>\n" );
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document.write( "the vertex form of the parabolic equation is f(x) = a(x - h)^2 + k,<BR>\n" );
document.write( "where the vertex is the point (h,k)\r<BR>\n" );
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document.write( "in this case h = 0, and k = c = 3\r<BR>\n" );
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document.write( "the vertex is (0, 3)<BR>\n" );
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