Answer:
y = 4 sin( 0.5t -
) - 2
y = a sin ( 2t -
) + 2
Step-by-step explanation:
In the first question,
amplitude = 4
Period = 
phase shift = 
Vertical shift = -2
Angular velocity , w = 
Here, w =
= 0.5
The general equation of a wave is
y = a sin( wt + ∅ )
Putting above values in the equation,
y = 4 sin( 0.5t -
) - 2
In the second question,
Amplitude is not given so we will take it as a.
time period = 
w = 2
Phase shift = 
Vertical shift = 2
The equation is
y = a sin ( 2t -
) + 2
Answer:
3rd
Step-by-step explanation:
The equation that pases through these sets of points would be
y = 2x + 3
The slope of the equation is 2, and the y-intercept is 3.
Step-by-step explanation:
(3, -2)
(x, y) → ((x - 5), (y + 6))
(3, -2) → ((3 - 5), (-2 + 6))
(3, -2) → (-2, 4) which is the third option
The answer should be n = 12. Hope this helps.