The equation that represents the function will be; y = -1.25sin(0.8x) + 0.25
How does sine function works?
Suppose that we've got
[tex]f(x) = a\sin(bx + c) + d[/tex]
Amplitude or maximum height from average motion horizontal axis
= a + d
Thus, the minimum low from horizontal axis is –a + d (sin ranges from -1 to 1, and multiplying a to it make it range from -a to a).
A sine function is represented as:
y = Asin(B(x+C)) + D
Now, Substitute the calculated values,
y = -1.25sin(0.8(x+C)) + 0.25
The horizontal shift (C) is 0.
So, the function will be;
y = -1.25sin(0.8x) + 0.25
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