Worksheet: Transformations of Exponential Graphs

In this worksheet, we will practice identifying the graphical transformations of exponential functions.

Q1:

Which of the following expressions does NOT describe the shown graph?

  • A 𝑁 = 8 0 𝑒 l n 1 . 2 5 𝑡
  • B 𝑁 = 8 0 1 . 2 5 𝑡
  • C 𝑁 = 8 0 2 l n l n 1 . 2 5 2 𝑡
  • D 𝑁 = 8 0 2 l n l n 2 1 . 2 5 𝑡
  • E 𝑁 = 8 0 2 l n l n 1 . 2 5 2 𝑡

Q2:

Which of the following expressions does NOT describe the shown graph?

  • A 𝑁 = 1 5 2 𝑡 2 . 4
  • B 𝑁 = 1 5 4 3 𝑡
  • C 𝑁 = 1 5 𝑒 0 . 2 8 8 𝑡
  • D 𝑁 = 1 5 2 2 . 4 𝑡
  • E 𝑁 = 1 5 3 4 𝑡

Q3:

Nabil has graphed three exponential functions all in the form or where and are positive integers.

The red graph is .

By considering properties of graphical transformations, determine the equation of the blue graph.

  • A
  • B
  • C
  • D
  • E

By considering properties of graphical transformations, determine the equation of the green graph.

  • A
  • B
  • C
  • D
  • E

Q4:

William has graphed three exponential functions all in the form 𝑦 = 𝑎 𝑒 𝑥 .

The red graph represents the equation 𝑦 = 𝑒 𝑥 .

By considering properties of graphical transformations, determine the equation of the blue graph.

  • A 𝑦 = 1 2 𝑒 𝑥
  • B 𝑦 = 2 𝑒 𝑥
  • C 𝑦 = 𝑒 𝑥 0 . 5
  • D 𝑦 = 3 𝑒 𝑥
  • E 𝑦 = 𝑒 𝑥 1

By considering properties of graphical transformations, determine the equation of the green graph.

  • A 𝑦 = 1 2 𝑒 𝑥
  • B 𝑦 = 1 2 𝑒 𝑥 0 . 5
  • C 𝑦 = 7 1 0 𝑒 𝑥 0 . 5
  • D 𝑦 = 𝑒 𝑥 0 . 5
  • E 𝑦 = 1 4 𝑒 𝑥

Q5:

Which of the following translations will move the curve 𝑦 = 𝑒 + 9 to the curve 𝑦 = 𝑒 ?

  • A ( 6 , 9 )
  • B ( 6 , 9 )
  • C ( 9 , 6 )
  • D ( 6 , 9 )

Q6:

This is the graph of the exponential function 𝑦 = 𝑓 ( 𝑥 ) .

Which of the following is the graph of 𝑦 = 𝑓 ( 2 𝑥 ) ?

  • A(c)
  • B(a)
  • C(b)

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