document.write( "Question 198384: Describe the transformations on the following graph of f(x)=log(x). State the placement of the vertical asymptote and x-intercept after the transformation. For example, vertical shift up 2 or reflected about the x-axis are descriptions.
\n" ); document.write( "a) g(x)=log(x-3)
\n" ); document.write( "b) g(x)=log(-x) \n" ); document.write( "

Algebra.Com's Answer #148902 by stanbon(75887) $\"\"$ $\"About$

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Describe the transformations on the following graph of f(x)=log(x). State the placement of the vertical asymptote and x-intercept after the transformation. For example, vertical shift up 2 or reflected about the x-axis are descriptions.
\n" ); document.write( "Equation(s) for the Vertical Asymptote(s):
\n" ); document.write( "x-intercept in (x, y) form
\n" ); document.write( "a) g(x)=log(x-3)
\n" ); document.write( "Ans: shifted 3 units to the right.
\n" ); document.write( "vertical asymptote: x = 3
\n" ); document.write( "x-intercept: Let g(x)=0; log(x-3)=0; x-3 = 10^0; x = 4
\n" ); document.write( "---------------------------------------
\n" ); document.write( "b) g(x)=log(-x)
\n" ); document.write( "Ans: reflected in the y-axis.
\n" ); document.write( "vertical asymptote: y = 0
\n" ); document.write( "x-intercept: Let g(x) = 0, then log(-x)=0 ; -x=10^0 = 1; x = -1
\n" ); document.write( "=================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( " \n" ); document.write( "

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