The graph below shows transformations of the graph of f(x)=2x. What is the equation for the transformation?

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Louis Gregory · Accepted Answer

Step 1 Given We have been given the graph of the equation which shows the transformation of K2x. Step 2 To show We have to find the equation for the transformation. The general form of the equation of an exponential function is y=a(b)x+c(1) Here c represents the asymptote of the function. Step 3 Here the function has an asymptote y = 3 so, c = 3 and b = 2 as (2)x. Hence we get y=a(2)x+3 From the graph, we have the coordinates (0, 1), and now substituting in the above equation we get 1=a(2)0+3 1−3=a(2)0 -2=a (as20=1) Hence we get the value of a = -2. Substituting the value in equation (1) we get y=(−2)(2)x+3  Now we can see that the graph is reflected along the y-axis and for that, we will change x to -x and we get y=(−2)(2)−x+3 Now we get

The graph below shows transformations of the graph of f(x)=2^{x}. What is

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