document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=964268>Question 964268</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Graph the quadratic function. Indicate the x-intercepts, y-intercepts, domain, range, axis of symmetry, vertex, and maximum or minimum of the function. F(x)=-2x(to the 2nd power)+8x-13 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #589157 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=589157\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Graph the quadratic function. Indicate the x-intercepts, y-intercepts, domain, range, axis of symmetry, vertex, and maximum or minimum of the function. F(x)=-2x(to the 2nd power)+8x-13<BR>\n" );
document.write( "***<BR>\n" );
document.write( "f(x)=2x^2+8x-13<BR>\n" );
document.write( "complete the square:<BR>\n" );
document.write( "f(x)=2(x^2+4x+4)-8-13<BR>\n" );
document.write( "f(x)=2(x+2)^2-21<BR>\n" );
document.write( "..<BR>\n" );
document.write( "x-intercepts<BR>\n" );
document.write( "set y=0<BR>\n" );
document.write( "2x^2+8x-13=0<BR>\n" );
document.write( "use quadratic formula to solve to solve for x:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a=2, b=8, c=-13<BR>\n" );
document.write( "ans: <BR>\n" );
document.write( "x=-5.24<BR>\n" );
document.write( "or<BR>\n" );
document.write( "x=1.24<BR>\n" );
document.write( "..<BR>\n" );
document.write( "y-intercepts<BR>\n" );
document.write( "set x=0<BR>\n" );
document.write( "y=-13<BR>\n" );
document.write( "..<BR>\n" );
document.write( "domain: (-&#8734;, &#8734;) (all real numbers)<BR>\n" );
document.write( "range: (-21, &#8734;)<BR>\n" );
document.write( "axis of symmetry: x=2<BR>\n" );
document.write( "vertex: (-2, -21)<BR>\n" );
document.write( "minimum: -21<BR>\n" );
document.write( "..<BR>\n" );
document.write( "see graph below:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-6%2C+5%2C+-30%2C+10%2C+2x%5E2%2B8x-13%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-6%2C+5%2C+-30%2C+10%2C+2x%5E2%2B8x-13%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );