Given the functions below if h(x)=-1, find x h(x)=-7x+20 Find x
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We have a sinusoidal function.
Its midline is intersected at (0,-3) and has a maximum point at (2,-1.5).
As the midline intersects at y=-3, we know that function has an offset of 3 units down.
This offset is the value of the parameter d, so we have:
The maximum value happens at point (2,-1.5). The maximum value happens when the pure sin function reaches the value 1, so we can write:
The amplitude is A=1.5, so we can write:
We can find the values of the parameters b and c using the x-values of the the points (0,-3) and (2,-1.5):
The function becomes:
The graph of the function is:
Answer: y(x) = 1.5*sin(pi/4 * x)-3
