Use the graph of f(x)=log _{2} x to graph the function f(x)=log _{2}(x-1)+4

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Step:1 ：The function (f(x)=log _{2}(x-1)+4) is a transformation of the function (f(x)=log _{2} x). Specifically, the graph of (f(x)=log _{2}(x-1)+4) is the graph of (f(x)=log _{2} x) shifted one unit to the right and four units up.Step:2 ：To graph this function, we generate a range of x values, compute the corresponding y values using the function (f(x)=log _{2}(x-1)+4), and then plot these points.Step:3 ：(boxed{text{The graph of the function } f(x)=log _{2}(x-1)+4 text{ is the graph of } f(x)=log _{2} x text{ shifted one unit to the right and four units up.}})

Answer

Step: 1 ：The function (f(x)=log _{2}(x-1)+4) is a transformation of the function (f(x)=log _{2} x). Specifically, the graph of (f(x)=log _{2}(x-1)+4) is the graph of (f(x)=log _{2} x) shifted one unit to the right and four units up.Step: 2 ：To graph this function, we generate a range of x values, compute the corresponding y values using the function (f(x)=log _{2}(x-1)+4), and then plot these points.Step: 3 ：(boxed{text{The graph of the function } f(x)=log _{2}(x-1)+4 text{ is the graph of } f(x)=log _{2} x text{ shifted one unit to the right and four units up.}})

Use the graph of $f (x) = \log_{2} x$ to graph the function $f (x) = \log_{2} (x - 1) + 4$

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Popular Problems

Use the graph of f(x)=log2⁡x to graph the function f(x)=log2⁡(x−1)+4

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Popular Problems

Use the graph of $f (x) = \log_{2} x$ to graph the function $f (x) = \log_{2} (x - 1) + 4$