diughayy diughayy
  • 23-03-2019
  • Mathematics
contestada

Describe in words how to obtain the graph of f(t) = sin(5t + 20) − 7 from the graph of y = sin(5t).

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tramserran
tramserran tramserran
  • 23-03-2019

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

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