document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=479184>Question 479184</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sketch a parabola with real roots and a turning point of (0,-7).  Is the turning point a minimum or maximum vaue for f(x)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #328562 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=328562\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Sketch a parabola with real roots and a turning point of (0,-7). Is the turning point a minimum or maximum vaue for f(x)?<BR>\n" );
document.write( "**<BR>\n" );
document.write( "Standard form of a parabola: y=A(x-h)^2+k, with (h,k) being the (x,y) coordinates of the vertex.<BR>\n" );
document.write( "For given problem:<BR>\n" );
document.write( "Turning point of (0,-7) are the coordinates of the vertex.<BR>\n" );
document.write( "Equation: <BR>\n" );
document.write( "y=(x-0)^2-7, A=1<BR>\n" );
document.write( "y=x^2-7<BR>\n" );
document.write( "Since sign of the coefficient of the lead term is >0, curve opens upwards, that is, it has a minimum.<BR>\n" );
document.write( "see graph below as a visual check on the answer:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2-7%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2-7%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
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