document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=765509>Question 765509</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.Write a formula for a function with a graph that has exactly two x-intercepts,<BR>\n" );
document.write( "one at x = 4 and the other at x = 2. Draw a graph by hand of your equation and check its intercepts by substituting 2 and then 4 for x.\r<BR>\n" );
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document.write( "2.Write an equation for a function with a graph that has exactly two x-intercepts,<BR>\n" );
document.write( "one at x = –6 and the other at x = 3. Draw a graph by hand of your equation and check the intercepts.\r<BR>\n" );
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document.write( "3.Write a formula for a function whose graph has exactly three x-intercepts,<BR>\n" );
document.write( "one at x = –3, another at x = 1, and the third at x = 3. Draw a graph by<BR>\n" );
document.write( "hand of your equation and check the intercepts.\r<BR>\n" );
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document.write( "5. Draw a graph of a different parabola that has the same x-intercepts as the<BR>\n" );
document.write( "graph for problem 1. What is the equation of that function?\r<BR>\n" );
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document.write( "6. Solve the equation Q = 4a + 6ac for a. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #466205 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=466205\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.Write a formula for a function with a graph that has exactly two x-intercepts,<BR>\n" );
document.write( "one at x = 4 and the other at x = 2. Draw a graph by hand of your equation and check its intercepts by substituting 2 and then 4 for x.<BR>\n" );
document.write( "------<BR>\n" );
document.write( "f(x) = (x-4)(x-2)<BR>\n" );
document.write( "============================== <BR>\n" );
document.write( "2.Write an equation for a function with a graph that has exactly two x-intercepts,<BR>\n" );
document.write( "one at x = –6 and the other at x = 3. Draw a graph by hand of your equation and check the intercepts.<BR>\n" );
document.write( "------<BR>\n" );
document.write( "f(x) = (x+6)(x-3)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C%28x%2B6%29%28x-3%29%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C%28x%2B6%29%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "============================== <BR>\n" );
document.write( "3.Write a formula for a function whose graph has exactly three x-intercepts,<BR>\n" );
document.write( "one at x = –3, another at x = 1, and the third at x = 3. Draw a graph by<BR>\n" );
document.write( "hand of your equation and check the intercepts.<BR>\n" );
document.write( "------<BR>\n" );
document.write( "f(x) = (x+3)(x-1)(x-3)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C%28x%2B3%29%28x-1%29%28x-3%29%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C%28x%2B3%29%28x-1%29%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=============================== <BR>\n" );
document.write( "5. Draw a graph of a different parabola that has the same x-intercepts as the<BR>\n" );
document.write( "graph for problem 1. What is the equation of that function?<BR>\n" );
document.write( "g(x) = 3(x-4)(x-2)<BR>\n" );
document.write( "=============================== <BR>\n" );
document.write( "6. Solve the equation Q = 4a + 6ac for a.<BR>\n" );
document.write( "Q = a(4+6c)<BR>\n" );
document.write( "a = Q/(4+6c)<BR>\n" );
document.write( "===============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "================== </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );