document.write( "Question 59085: (2) Given f(x) = 3xsquared - 5x, \r
\n" ); document.write( "\n" ); document.write( "(a) Find f(-4)\r
\n" ); document.write( "\n" ); document.write( "(b) Find x if f(x) = 0\r
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\n" ); document.write( "\n" ); document.write( "(3) Let g(x) = -3(x + 72)squared + 108\r
\n" ); document.write( "\n" ); document.write( "(a) Find the zeros of g(x).\r
\n" ); document.write( "\n" ); document.write( "(b) Identify the axis of symmetry for the graph of g.
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Algebra.Com's Answer #40520 by funmath(2933)\"\" \"About 
You can put this solution on YOUR website!
(2) Given \"f%28x%29=3x%5E2-5x\",
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\n" ); document.write( "(a) Find f(-4)
\n" ); document.write( "\"f%28-4%29=3%28-4%29%5E2-5%28-4%29\"
\n" ); document.write( "\"f%28-4%29=3%2816%29%2B20\"
\n" ); document.write( "\"f%28-4%29=48%2B20\"
\n" ); document.write( "\"highlight%28f%28-4%29=68%29\"
\n" ); document.write( ":
\n" ); document.write( "(b) Find x if f(x) = 0
\n" ); document.write( "\"0=3x%5E2-5x\"
\n" ); document.write( "\"0=x%283x-5%29\"
\n" ); document.write( "\"x=0\" and \"3x-5=0\"
\n" ); document.write( "\"x=0\" and \"3x-5%2B5=0%2B5\"
\n" ); document.write( "\"x=0\" and \"3x=5\"
\n" ); document.write( "\"x=0\" and \"3x%2F3=5%2F3\"
\n" ); document.write( "\"highlight%28x=0%29\" and \"highlight%28x=5%2F3%29\"
\n" ); document.write( ":
\n" ); document.write( "(3) Let \"g%28x%29=-3%28x%2B72%29%5E2%2B108\"
\n" ); document.write( ":
\n" ); document.write( "(a) Find the zeros of g(x).
\n" ); document.write( "\"0=-3%28x%2B72%29%5E2%2B108\"
\n" ); document.write( "\"-108=-3%28x%2B72%29%5E2%2B108-108\"
\n" ); document.write( "\"-108=-3%28x%2B72%29%5E2\"
\n" ); document.write( "\"-108%2F-3=%28x%2B72%29%5E2\"
\n" ); document.write( "\"36=%28x%2B72%29%5E2\"
\n" ); document.write( "+\-\"sqrt%2836%29=sqrt%28%28x%2B72%29%5E2%29\"
\n" ); document.write( "+\-\"6=x%2B72\"
\n" ); document.write( "-72+\-6=x+72-72
\n" ); document.write( "\"x=-72-6\" and \"x=-72%2B6\"
\n" ); document.write( "\"highlight%28x=-78%29\" and \"highlight%28x=-66%29\"
\n" ); document.write( ":
\n" ); document.write( "(b) Identify the axis of symmetry for the graph of g.
\n" ); document.write( "g(x) is in vertex form:\"highlight%28g%28x%29=a%28x-h%29%5E2%2Bk%29\", the axis of symmetry is x=h. In your case h=-72, so the axis of symmetry is:
\n" ); document.write( "\"highlight%28x=-72%29\"
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\n" ); document.write( "Happy Calculating!!!
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