The function f(x)=4sin(2πx) is a sinusoidal function
The graph of the function f(x)=4sin(2πx) is graph (c)
How to determine the graph of the function f(x)=4sin(2πx)?
The parent function of a sine function is
f(x) = sin(x)
The function f(x)=4sin(2πx) implies that the parent function f(x) = sin(x) has been horizontally and vertically stretched
So, the graph of the function f(x)=4sin(2πx) would have a higher amplitude and shorter period than its parent function
Hence, the graph of the function f(x)=4sin(2πx) is graph (c)
Read more about function transformation at:
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