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Worksheet: Periodic Functions

Q1:

The figure shows the graph of a periodic function.

The functionโ€™s period was doubled. Which of the following is the graph of the resulting function?

  • A
  • B
  • C
  • D

Q2:

The figure shows the graph of a periodic function.

The functionโ€™s frequency was doubled. Which of the following is the graph of the resulting function?

  • A
  • B
  • C
  • D

Q3:

The figure shows the graph of . A transformation maps to . Determine the coordinates of following this transformation.

  • A
  • B
  • C
  • D
  • E

Q4:

The figure shows the graph of ๐‘“ ( ๐‘ฅ ) . A transformation maps ๐‘“ ( ๐‘ฅ ) to 4 ๐‘“ ( 3 ๐‘ฅ โˆ’ 4 5 ) + 1 . Determine the coordinates of ๐ด following this transformation.

  • A ( 7 5 , โˆ’ 2 )
  • B ( 1 0 5 , โˆ’ 3 )
  • C ( 1 8 0 , 0 )
  • D ( 7 5 , โˆ’ 3 )
  • E ( 7 5 , โˆ’ 1 )