Respuesta :

Answer:  f(t) is shifted 20 units to the left and 7 units down

Step-by-step 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