document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=629272>Question 629272</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.  Find an equation for a quadratic function whose only x-intercept is (5,0).\r<BR>\n" );
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document.write( "2.  Find the x-coordinate of the vertex  of a parabola that contains the points (-2,7) and (9,7).  Can you find the coordinates of the vertex?\r<BR>\n" );
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document.write( "3.  Find an equation for a quadratic function that has vertex (4,3) and opens up.  How many x-intercepts will the graph of the function have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #396139 by </B><A HREF=/tutors/aboutme.mpl?userid=reviewermath><B>reviewermath(1029)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=reviewermath><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=reviewermath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=396139\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28x-5%29%5E2 ALIGN=MIDDLE  ALT=\"y+=+%28x-5%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+x%5E2+-+10x+%2B+25 ALIGN=MIDDLE  ALT=\"y+=+x%5E2+-+10x+%2B+25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2. Since the y-coordinates of (-2,7) and (9,7) are the same.<BR>\n" );
document.write( "   The x-coordinate of the vertex is equal to the average of x-coordinates of<BR>\n" );
document.write( "   (-2,7) and (9,7).<BR>\n" );
document.write( "   x-coordinate of vertex = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2%2B9%29%2F2+=+highlight%287%2F2%29 ALIGN=MIDDLE  ALT=\"%28-2%2B9%29%2F2+=+highlight%287%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "   We can only find the x-coordinate of the vertex but not the y-coordinate because we need another point to find the y-coordinate.<BR>\n" );
document.write( "3. The quadratic equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+a%28x-4%29%5E2+%2B+3 ALIGN=MIDDLE  ALT=\"y+=+a%28x-4%29%5E2+%2B+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%3C%3E0 ALIGN=MIDDLE  ALT=\"a%3C%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "   There are no x-intercepts because the lowest point (4,3) is above the x-axis.  </SPAN>\n" );
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