document.write( "Question 1012179: Let g(x)=2(4)^x+3 - 5.
\n" ); document.write( "a) describe the function as a transformation of f(x)=4^x.
\n" ); document.write( "b) graph the function using your knowledge of transformations.
\n" ); document.write( "c) what is the horizontal asymptote of the graph of g? \n" ); document.write( "

Algebra.Com's Answer #628212 by FormerJosephStalin(2) $\"\"$ $\"About$

You can put this solution on YOUR website!
Hi there!
\n" ); document.write( "Thanks for the question.\r
\n" ); document.write( "\n" ); document.write( "So we are given the exponential function $\"y=2%284%29%5E%28x%2B3%29+-+5\"$ . Since a = 2, the graph is compressed. Since the graph has an exponent of x + 3 and a vertical shift of -5. The graph of $\"y=4%5Ex\"$ will be shifted to the left 3 units and down 5. I apologize for the lack of graphics. It is difficult to upload media on here. But you can look at desmos.com. Now, since y=4^x or any exponential function with no vertical shift has an asymptote of y =0, the asymptote will be shifted down 5 units to y = -5. \r
\n" ); document.write( "\n" ); document.write( "Hope this helped! :) \n" ); document.write( "

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