What is the practical domain of the function
1 answer:
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Answer:
The function g(x) is defined as .
Step-by-step explanation:
The given function is
The function f(x) transformed 9 units right, compressed vertically by factor of 1/6 and reflected across the x-axis.
The transformation of function is defined as
Where, k is vertical stretch, b is horizontal shift and c is vertical shift.
If b>0, then the graph of f(x) shifts b units left and if b>0, then the graph of f(x) shifts b units right.
If c>0, then the graph of f(x) shifts c units upward and if c>0, then the graph of f(x) shifts c units downward.
The value of b is -9 because the graph shifts 9 units right. The value of k is 1/6. If the graph of function f(x)reflect across x-axis, therefore the function is defined as -f(x).
Therefore the function g(x) is defined as .
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Answer:
graph: lower right
π units to the right of the graph of f(x)
Step-by-step explanation:
The transformation of f(x) to f(x-h) is a translation to the right by h units.
Here, the function f(x) = 1/2cos(x) is transformed to f(x-π) = 1/2cos(x-π), so is a translation of f(x) to the right by π units.
The graph of the translated function is shown below.
