document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=502349>Question 502349</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me I appreciate it\r<BR>\n" );
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document.write( "Describe the graph of the quadratic function f(x) = -x2 + 7x + 8 by identifying the following:<BR>\n" );
document.write( "the concavity of the graph;<BR>\n" );
document.write( "the vertex;<BR>\n" );
document.write( "the line of symmetry;<BR>\n" );
document.write( "the x-intercepts and y intercept; <BR>\n" );
document.write( "Justify your answers by showing work or providing a logical explanation.<BR>\n" );
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document.write( "Additional Instructions:<BR>\n" );
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document.write( "Describe the graph algebraically; in other words, without graphing.<BR>\n" );
document.write( "Show work to support your answers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #338819 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=338819\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Describe the graph of the quadratic function f(x) = -x2 + 7x + 8 by identifying the following:<BR>\n" );
document.write( "the concavity of the graph;<BR>\n" );
document.write( "the vertex;<BR>\n" );
document.write( "the line of symmetry;<BR>\n" );
document.write( "the x-intercepts and y intercept; <BR>\n" );
document.write( "Justify your answers by showing work or providing a logical explanation.<BR>\n" );
document.write( "Additional Instructions:<BR>\n" );
document.write( "Describe the graph algebraically; in other words, without graphing.<BR>\n" );
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document.write( "f(x)=-x2+7x+8<BR>\n" );
document.write( "completing the square<BR>\n" );
document.write( "y=-(x^2-7x+49/4)+8+49/4<BR>\n" );
document.write( "y=-(x-7/2)^2+32/4+49/4<BR>\n" );
document.write( "y=-(x-7/2)^2+81/4<BR>\n" );
document.write( "This is an equation of a parabola of standard form: y=A(x-h)^2+k, with (h,k) being the (x,y) coordinates of the vertex. A is a multiplier which affects the steepness of the curve.<BR>\n" );
document.write( "For given equation:<BR>\n" );
document.write( "Vertex: (7/2,81/4)<BR>\n" );
document.write( "The negative sign of the lead coefficient means that the parabola opens downward.<BR>\n" );
document.write( "The line of symmetry or axis of symmetry: x=7/2<BR>\n" );
document.write( "..<BR>\n" );
document.write( "y-intercept: set x=0, then solve for y<BR>\n" );
document.write( "y-intercept=8<BR>\n" );
document.write( "..<BR>\n" );
document.write( "x-intercept: set y=0, then solve for x<BR>\n" );
document.write( "-x2+7x+8=0<BR>\n" );
document.write( "x^2-7x-8=0<BR>\n" );
document.write( "(x-8)(x+1)=0<BR>\n" );
document.write( "x-intercepts: 8 and -1<BR>\n" );
document.write( "..<BR>\n" );
document.write( "General description of graph:<BR>\n" );
document.write( "This is a parabola which opens downwards, with a maximum of 81/4, at x=7/2.<BR>\n" );
document.write( "Curve cuts thru the y-axis at 8, and thru the x-axis at 8 and -1<BR>\n" );
document.write( "Curve is symmetrical about the line x=7/2 </SPAN>\n" );
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