Answer: f(t) is shifted 20 units to the left and 7 units down
Explanation:
The general form of a sin function is: y = A sin (Bx - C) + D
- A is the vertical stretch (amplitude)
- B is the horizontal compression
- C is the horizontal shift (left or right)
- D is the vertical shift (up or down)
y = sin (5t)
f(t) = sin (5t + 20) -7
- the C-value is -20 --> shifts 20 units to the left
- the D value is -7 --> shifts 7 units down