The graph of f(x) = sin(x) is stretched until it has a period of 4align='absmiddle'. This new graph is described by which of the following functions?
f(x) = sin(x)
f(x) = sin(x)
f(x) = sin(2x)
f(x) = sin(4x)
2 answers:
Answer:
Step-by-step explanation:
The period of a sine function is the angle measurement in radians in which the graph completes one complete cycle.
The period of a sin functio in its standard form is
When the graph is stretched on x axis to a level that it now comletes one complete cycle in , there are changes in the angle whose sine has been taken
Which is given by the rule which says
The period of
Hence the function having as its period, will be
We don't know what <em>4align='absmiddle'</em> means, but we do know that a sine function with a period of 4 will be "none of the above."
It will be f(x) = sin(πx/2) .
_____
The graph highlights one period of the function.
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