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Describe the transformation of f(x) to g(x).2g(x)1.0TT5122n37743172777442.f(x) = sin xO A. AX) is shifted up 2 units to g(x).B. f(x) is shifted down units to g(x).c. f(x) is shifted up 1 unit to g(x).

Describe the transformation of f(x) to g(x).2g(x)1.0TT5122n37743172777442.f(x) = sin-example-1
User AlfredoVR
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1 Answer

6 votes

If a graph f(x) is shifted up or down to another graph g(x), then every point on the graph will be shifted by the same amount.

In this case, f(x) is shifted upwards to g(x). From the statement above, we only need to know how many units one point on graph f(x) moved to get to its new location on g(x), to get the total units the whole graph of f(x) has moved.


\begin{gathered} Therefore,\text{ look at the peak or highest value of f(x) at around }(\pi)/(2)\text{ on the x-axis. This number is 1.} \\ \text{But when f(x) moved, this peak value changed to 2 on graph g(x)} \\ \text{This means that the graph moved from 1 to 2 units at the peaks. i.e it moved 1 unit up} \\ \text{But based on the first statement made earlier, once we know how many units a point on f(x) moves,} \\ we\text{ can conclude on the whole graph as well.} \end{gathered}

Therefore, f(x) moved up 1 unit to g(x)

Thus, the final answer is C

User Audwin
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