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Lesson: Symmetry of Graphs

Sample Question Videos

Worksheet • 14 Questions • 2 Videos

Q1:

What is the axis of symmetry of the graph of the function 𝑓 ( π‘₯ ) = ( π‘₯ + 3 ) + 4 2 ?

  • A π‘₯ = βˆ’ 3
  • B π‘₯ = 2
  • C π‘₯ = 3
  • D π‘₯ = βˆ’ 4
  • E π‘₯ = 4

Q2:

Find the equation of the axis of symmetry of the function 𝑓 ( π‘₯ ) = βˆ’ 7 π‘₯ βˆ’ 1 4 π‘₯ + 5 2 .

  • A π‘₯ = βˆ’ 1
  • B 𝑦 = βˆ’ 2
  • C π‘₯ = 5
  • D π‘₯ = 7
  • E π‘₯ = 1

Q3:

What is the equation of the axis of symmetry of the graph of the function 𝑓 ( π‘₯ ) = π‘₯ βˆ’ 1 6 π‘₯ βˆ’ 6 4 2 ?

  • A π‘₯ = 8
  • B 𝑦 = 8
  • C π‘₯ = 1 6
  • D π‘₯ = 1 0
  • E π‘₯ = 6 4

Q4:

The point ( βˆ’ 1 8 , 2 ) is the vertex of a parabola described by a quadratic function. Find the equation of its axis of symmetry.

  • A π‘₯ = βˆ’ 1 8
  • B 𝑦 = 1 8
  • C 𝑦 = βˆ’ 1 8
  • D π‘₯ = 2

Q5:

The point ( 5 , βˆ’ 1 4 ) is the vertex of a parabola described by a quadratic function. Find the equation of its axis of symmetry.

  • A π‘₯ = 5
  • B 𝑦 = βˆ’ 5
  • C 𝑦 = 5
  • D π‘₯ = βˆ’ 1 4

Q6:

The point ( βˆ’ 1 2 , βˆ’ 5 ) is the vertex of a parabola described by a quadratic function. Find the equation of its axis of symmetry.

  • A π‘₯ = βˆ’ 1 2
  • B 𝑦 = 1 2
  • C 𝑦 = βˆ’ 1 2
  • D π‘₯ = βˆ’ 5

Q7:

Find the equation of the axis of symmetry of the function 𝑓 ( π‘₯ ) = βˆ’ 1 2 π‘₯ βˆ’ 1 3 + 2 π‘₯ 2 .

  • A π‘₯ = 3
  • B 𝑦 = 6
  • C π‘₯ = 2
  • D π‘₯ = 6
  • E π‘₯ = βˆ’ 3

Q8:

Find the equation of the axis of symmetry of the function 𝑓 ( π‘₯ ) = | βˆ’ 3 βˆ’ π‘₯ | .

  • A π‘₯ = βˆ’ 3
  • B π‘₯ = 3
  • C 𝑦 = 3
  • D 𝑦 = βˆ’ 3

Q9:

Find the equation of the axis of symmetry of the function 𝑓 ( π‘₯ ) = | βˆ’ 6 βˆ’ π‘₯ | .

  • A π‘₯ = βˆ’ 6
  • B π‘₯ = 6
  • C 𝑦 = 6
  • D 𝑦 = βˆ’ 6

Q10:

In the graph below, find the axis of symmetry.

  • Athe 𝑦 -axis
  • Bthe π‘₯ -axis
  • Cthe origin

Q11:

Find the equation of the axis of symmetry of the function 𝑓 ( π‘₯ ) = π‘₯ 2 .

  • A π‘₯ = 0
  • B π‘₯ = 1
  • C π‘₯ = 2
  • D π‘₯ = βˆ’ 1

Q12:

Find the axis of symmetry of the quadratic equation 𝑦 = βˆ’ 2 π‘₯ + 1 2 π‘₯ βˆ’ 1 2 .

  • A π‘₯ = 3
  • B π‘₯ = 1
  • C π‘₯ = 6
  • D π‘₯ = 1 7
  • E π‘₯ = 2

Q13:

Determine the equation of the line of symmetry of the curve.

  • A 𝑦 = 5
  • B π‘₯ = 5
  • C 𝑦 = βˆ’ 3
  • D π‘₯ = βˆ’ 3

Q14:

Determine the equation of the line of symmetry of the curve.

  • A π‘₯ = βˆ’ 3
  • B 𝑦 = βˆ’ 3
  • C 𝑦 = βˆ’ 1
  • D π‘₯ = βˆ’ 1
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