Construct a sinusoid equation with the given amplitude and period that goes through the given point.
(a.) Amplitude 3, period , point (0,0)
(b.) Amplitude 1.5, period , point (5,0)
State the amplitude and period of each equation, and (relative to the basic function) the phase shift and vertical translation.
A sinusoid that goes through (0,0) is a sine curve. Amplitude is 3. Assume period to be `2pi`
There is not enough information to complete this one. It could be a sine curve with a first x intercept (period/2) at (5,0).
The period would be:
The sinusoid equation would be `y=1.5sin(pi/5x)`
It could also be a cosine curve in which period/4=5. In this case
Then the equation would be `y=1.5cos(pi/10x)`