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Worksheet: Horizontal and Vertical Translations of Graphs

In this worksheet, we will practice identifying graphical transformations involving horizontal and vertical shifts and dilations.

Q1:

Given the graph of 𝑦 = 𝑔 ( π‘₯ ) , which of the following is the graph of 𝑦 = 𝑔 ( π‘₯ βˆ’ 3 ) ?

  • A
  • B
  • C
  • D

Q2:

Which of the following graphs represents 𝑓 ( π‘₯ ) = ( π‘₯ βˆ’ 1 ) 2 ?

  • A(c)
  • B(a)
  • C(d)
  • D(b)

Q3:

Which of the following graphs represents 𝑓 ( π‘₯ ) = ( π‘₯ + 3 ) 2 ?

  • A(a)
  • B(b)
  • C(d)
  • D(c)

Q4:

Which of the following graphs represents 𝑓 ( π‘₯ ) = π‘₯ + 1 2 ?

  • A(c)
  • B(b)
  • C(d)
  • D(a)

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