Writing the equation of a transformed exp function given the graph

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To write the equation for the transformed exponential function based on graph B, it is essential to identify the transformations applied to the base function f(x) = 2^x. The variables involved include a vertical stretch/compression (a), a horizontal shift (d), and a vertical shift (k), with the asymptote indicating that c is 0. The process typically involves selecting key points on the graph to set up a system of equations, allowing for the determination of the transformation parameters. Assumptions about the general form of the transformation are necessary to proceed with the calculations. Understanding these transformations is crucial for accurately formulating the equation.
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Homework Statement



EXPONENTIAL FUNCTION

The graph represents a transformation of the function f(x) = 2^x, Write an equation for it.

The graph in question is the second one, graph B.

http://ars.els-cdn.com/content/image/1-s2.0-S0006349598778683-gr1.gif

Since there are more variables involved I am not sure how to solve. I know if its just ab^x then I can find two points and do a system of equations. But what is the process when I have, k, a, d variables to worry about as well. I know that c is 0 because its the asymptote. Can someone please help. Thanks!
 
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There's no way to solve this as a completely open-ended question. You have to make some assumption about the general form of the transformation. Suggest something.
 

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