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
If you have any questions about slope point formula...feel free to leave comments :)
The diameter splits the circle into 2 equal halves by going through the midpoint of the circle. The two halves are called semicircles.
Answer:
- 2 < x < 2
Step-by-step explanation:
Given
- 3 < 2x + 1 < 5 ( subtract 1 from each interval )
- 4 < 2x < 4 ( divide each interval by 2 )
- 2 < x < 2
Answer:
choice 4 (or D)
Step-by-step explanation:
1) the initial argument (x/2) and the final one (x) shows horizontal compression of the given function;
2) the different between (-1) and (-5) is (-4); it means shifting down 4 units;
3) the correct answer is: t<u>he graph is compressed horizontally by a factor 2 and shifted down 4 units</u>.