document.write( "Question 1137988: Can someone explain how to solve this problem?
\n" ); document.write( "The graph of
\n" ); document.write( "f(x) = 1/4^ −x is reflected about the y-axis and compressed vertically by a factor of
\n" ); document.write( "1/5.
\n" ); document.write( "What is the equation of the new function, g(x)? \n" ); document.write( "

Algebra.Com's Answer #755870 by MathLover1(20850) $\"\"$ $\"About$

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The graph of
\n" ); document.write( " $\"f%28x%29+=+%281%2F4%29%5E+%28-x%29+\"$ is reflected about the y-axis and compressed vertically by a factor of
\n" ); document.write( " $\"1%2F5\"$ .
\n" ); document.write( "What is the equation of the new function, $\"g%28x%29\"$ ? \r
\n" ); document.write( "\n" ); document.write( "The basic parent function of any exponential function is $\"f%28x%29+=+b%5Ex\"$ , where b is the base.
\n" ); document.write( "Because an exponential function is simply a function, you can transform the parent graph of an exponential function in the same way as any other function: \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29+=a%2A+b%5E%28x-h%29+%2Bk+\"$ \r
\n" ); document.write( "\n" ); document.write( "where $\"a\"$ is the vertical transformation, $\"+h\"$ is the horizontal shift, and $\"k\"$ is the vertical shift.\r
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\n" ); document.write( "\n" ); document.write( "in your case given $\"1%2F5\"$ is value of $\"a\"$ , so\r
\n" ); document.write( "\n" ); document.write( " $\"g%28x%29=%281%2F5%29%281%2F4%29%5E+%28-x%29\"$ \r
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