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Worksheet: Transforming Parabolas

Q1:

Describe the sequence of operations on the graph of 𝑦 = π‘₯  that produces the graph of 𝑦 = π‘₯ βˆ’ 6 π‘₯ + 1 4  .

  • Ashift 3 to the right then 14 up
  • Bshift 3 to the left then 5 up
  • Cshift 9 to the left then 14 up
  • Dshift 3 to the right then 5 up
  • Eshift 9 to the right then 5 up

Q2:

Describe the sequence of operations on the graph of 𝑦 = π‘₯  that produces the graph of 𝑦 = π‘₯ + π‘Ž π‘₯ + 𝑏  .

  • Ashift π‘Ž 2 to the left then 𝑏 βˆ’ π‘Ž 2  up
  • Bshift π‘Ž 2 to the right then 𝑏 βˆ’ π‘Ž 4  up
  • Cshift π‘Ž to the left then 𝑏 βˆ’ π‘Ž 2  up
  • Dshift π‘Ž 2 to the left then 𝑏 βˆ’ π‘Ž 4  up
  • Eshift π‘Ž 2 to the right then 𝑏 βˆ’ π‘Ž 2  up

Q3:

This is the graph of 𝑓 ( π‘₯ ) = 1 5 0 βˆ’ π‘₯ 5  .

Which of the following is the graph of 𝑦 = 1 5 0 βˆ’ ( π‘₯ + 1 0 ) 5  ?

  • A(c)
  • B(b)
  • C(a)

Q4:

The curve of the function 𝑔 ( π‘₯ ) = π‘₯ + 1 0 2 is the same curve of the function 𝑓 ( π‘₯ ) = π‘₯ 2 by translation of magnitude 10 units in which direction?

  • A οƒͺ 𝑂 π‘₯
  • B  𝑂 𝑦 β€²
  • C  𝑂 π‘₯ β€²
  • D οƒͺ 𝑂 𝑦