Answer:
a.) 10
b.) -2
c.) 6
d.) y = 6
e.) T = π
f.) y = -6cos(2t) + 4
Step-by-step explanation:
a.) Max value is the highest value in the y-axis. It peaks at y=10
b.) Min value is the lowest value in the y-axis. Peaks at y=-2
c.) Amplitude is how high the peak is from the midpoint. It could be found by taking the average of the peaks. (10 - (-2))/2 = 6
d.) y = 6
e.) T = π
f.) General equation for a sinusoidal wave is
y = Acos(ωt - Ф) + k
y = Acos((2π/T)t - Ф) + k
The graph started at it's min, so the amplitude must had been fliped upsidedown because it normally starts at the max. Therefore I must make my equation negative to flip it.
y = -Acos((2π/T)t - Ф) + k
- A = amplitude = 6
- T = period = π
- Ф = phaseshift = 0
- k = shift_in_y_direction = 4 , because shifting from -6 to -2 is shifting 4 units up
y = -(6)cos((2π/(π))t - (0)) + (4)
y = -6cos(2t) + 4
