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Worksheet: Graphing Quadratic Functions in Vertex Form

Q1:

Which graph represents the function 𝑦 = 2 π‘₯ + 2 2 ?

  • A(a)
  • B(d)
  • C(c)
  • D(b)

Q2:

Which graph represents the function 𝑦 = βˆ’ 2 π‘₯ + 3 2 ?

  • A(a)
  • B(d)
  • C(c)
  • D(b)

Q3:

Which graph represents the function 𝑦 = βˆ’ π‘₯ βˆ’ 3 2 ?

  • A(d)
  • B(c)
  • C(b)
  • D(a)

Q4:

Which graph represents the function 𝑦 = βˆ’ 0 . 5 π‘₯ + 4 2 ?

  • A(b)
  • B(a)
  • C(d)
  • D(c)

Q5:

The figure below represents the function 𝑓 ( π‘₯ ) = π‘₯ + π‘š 2 . Find the value of π‘š given the length of 𝑂 𝐴 is 4 units.

Q6:

Which of the following is the equation of the function drawn on the graph?

  • A 𝑓 ( π‘₯ ) = βˆ’ π‘₯ βˆ’ 8 2
  • B 𝑓 ( π‘₯ ) = βˆ’ π‘₯ + 8 2
  • C 𝑓 ( π‘₯ ) = π‘₯ + 8 2
  • D 𝑓 ( π‘₯ ) = π‘₯ βˆ’ 8 2
  • E 𝑓 ( π‘₯ ) = π‘₯ βˆ’ 8

Q7:

Which of the following is the equation of the function drawn on the graph?

  • A 𝑓 ( π‘₯ ) = π‘₯ + 5 2
  • B 𝑓 ( π‘₯ ) = π‘₯ βˆ’ 5 2
  • C 𝑓 ( π‘₯ ) = βˆ’ π‘₯ βˆ’ 5 2
  • D 𝑓 ( π‘₯ ) = βˆ’ π‘₯ + 5 2
  • E 𝑓 ( π‘₯ ) = βˆ’ π‘₯ + 5