document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1106436>Question 1106436</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi I need help answering these two questions. I have attempted both however my answer appears to be way off:\r<BR>\n" );
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document.write( "i. Find the equation of a circle, whose center is at (6,1) and acts as a tangent to the line: 3x-4y= 11\r<BR>\n" );
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document.write( "ii. The function f(x)= ax^2 + bx + c has roots (3,4) and it's graph passes through (5,6). Find a,b,c and decide if the graph f(x) opens up or down and find it's vertex.\r<BR>\n" );
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document.write( "Thank you so much, really appreciated <3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #721423 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=721423\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Only here summarizing (i.):\r<BR>\n" );
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document.write( "Line perpendicular containing given center of circle,<BR>\n" );
document.write( "slope  -4/3,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-4x%2F3%2B9 ALIGN=MIDDLE  ALT=\"y=-4x%2F3%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Intersection of that with the given tangent line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-4y=11 ALIGN=MIDDLE  ALT=\"3x-4y=11\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-11%2F4%2B3x%2F4 ALIGN=MIDDLE  ALT=\"y=-11%2F4%2B3x%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >  is at ( 141/25, 37/25 ).\r<BR>\n" );
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document.write( "SQUARE of distance from  (6,1) center and ( 141/25, 37/25 )  is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2=%286-141%2F25%29%5E2%2B%281-37%2F25%29%5E2 ALIGN=MIDDLE  ALT=\"r%5E2=%286-141%2F25%29%5E2%2B%281-37%2F25%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2=9%2F25 ALIGN=MIDDLE  ALT=\"r%5E2=9%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Equation of the circle wanted, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-6%29%5E2%2B%28y-1%29%5E2=9%2F25 ALIGN=MIDDLE  ALT=\"%28x-6%29%5E2%2B%28y-1%29%5E2=9%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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