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1. describe the transformation of g(x)=-(x-4)^2+1 relative to f(x)=x^2
\n" ); document.write( "Start by looking at \"x\" on the right side:
\n" ); document.write( "The -4 moves f(x)=x^2 four to the right.
\n" ); document.write( "The negative sign reflects the curve in the y- axis.
\n" ); document.write( "The +1 increases all y-values by 1 or raised the curve 1.
\n" ); document.write( "---------------------\r
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\n" ); document.write( "\n" ); document.write( "2.for polynomial function f(x)=x^4-3x^3-3x^2+11x-6, list ral zero and multiplicity; find y-intercept and some points.
\n" ); document.write( "The coefficients add up to zero so x=1 is a zero.
\n" ); document.write( "Dividing by x-1 you get:
\n" ); document.write( "x^3-2x^2-5x+6
\n" ); document.write( "These coefficients add up to zero so x=1 is again a zero.
\n" ); document.write( "Dividing by x-1 you get:
\n" ); document.write( "x^2-x-6
\n" ); document.write( "This factors as:
\n" ); document.write( "(x-3)(x+2)=0
\n" ); document.write( "x=3 or x=-2
\n" ); document.write( "ZEROES:
\n" ); document.write( "x=1; multiplicity 2
\n" ); document.write( "x=3; multiplicity 1
\n" ); document.write( "x=-2; multiplicity 1
\n" ); document.write( "--------------------\r
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\n" ); document.write( "\n" ); document.write( "3. Determine if -1 is a zero of P(x)=x^21-2x^18+5x^12+7x^2-3x+2
\n" ); document.write( "f(-1)=1-2(1)+5(1)+7(1)-3(-1)+2
\n" ); document.write( "f(-1) is not zero so -1 is not a zero.
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "