document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=560610>Question 560610</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write a quadratic function whose graph has the given characteristics: x-intercepts (-1,0),(7,0) and a point on the graph: (3,2).<BR>\n" );
document.write( "I tried making an equation using both intercepts.<BR>\n" );
document.write( "x=-1  x=7<BR>\n" );
document.write( "x+1=0  x-7=0<BR>\n" );
document.write( "(x+1)(x-7)=0<BR>\n" );
document.write( "x^2-6x-7=0<BR>\n" );
document.write( "So far I have this equation, but I don't know how to make it go through the point (3,2). If anyone could please help me, I would greatly appreciate it. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #363990 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=363990\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you know that the x-intercepts are the roots of the function\r<BR>\n" );
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document.write( "the axis of symmetry lies midway between the roots ___ x = (-1 + 7) / 2 ___ x = 3\r<BR>\n" );
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document.write( "the given point is on the axis of symmetry, so it is the vertex\r<BR>\n" );
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document.write( "using the vertex form ___ y = a(x - 3)^2 + 2\r<BR>\n" );
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document.write( "plug in one of the intercepts to find the value of a ___ 0 = a(7 - 3)^2 + 2 </SPAN>\n" );
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