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Write a function g whose graph represents the indicated transformation of the graph of f. The equation f (x) = |4+3| + 2 translated 2 units down is g (x) = ?

User Jeremy Scoggins
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1 Answer

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You have the following function f(x):


f(x)=\left|4x-3\right|+2

When you translate a function f(x) in b units, the new function can be described as follow:


g(x)=f(x)+b

where b is a number, positive or negative. It is positive if the translation is upward, it is negative if the translation is downward. In this case you have that the translation is 2 units downward, then, you obtain for the new function g(x):


\begin{gathered} g(x)=f(x)-2 \\ g(x)=\left|4x-3\right|+2-2 \\ g(x)=\left|4x-3\right| \end{gathered}

User Harry Cho
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