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The graph of f (in blue) is translated a whole number of units horizontally and vertically to obtain the graph of g (in red). The function f is defined by =fx−x. Write down the expression for gx.

The graph of f (in blue) is translated a whole number of units horizontally and vertically-example-1
User Ahmad Ishfaq
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1 Answer

26 votes
26 votes

Solution

- The function is


f(x)=-\sqrt[]{x}

- The graph of g(x) is shifted 4 units down and 2 units right as shown below:

- The transformation is thus


\begin{gathered} f(x)\to f(x-2)-4 \\ \text{This operation conducts the transformation on the function }f(x) \\ g(x)=f(x-2)-4 \\ g(x)=-\sqrt[]{(x-2)}-4 \end{gathered}

Final Answer

The answer is


g(x)=-\sqrt[]{(x-2)}-4

The graph of f (in blue) is translated a whole number of units horizontally and vertically-example-1
User Ylisar
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