Worksheet: Symmetry of Graphs and Functions

In this worksheet, we will practice determining the symmetry of functions about axes and points.

Q1:

In the graph below, find the axis of symmetry.

  • AThe 𝑦-axis
  • BThe origin
  • CThe 𝑥-axis

Q2:

In the graph below, find the axis of symmetry.

  • Athe 𝑥-axis
  • Bthe 𝑦-axis
  • Cthe origin

Q3:

In the graph below, find the axis of symmetry.

  • AThe 𝑥-axis
  • BThe origin
  • CThe 𝑦-axis

Q4:

Given that 𝑓(𝑥)=9𝑥𝑥<0,9𝑥𝑥>0.ifif About which point is the function symmetric?

  • A(9,9)
  • B(0,9)
  • C(0,0)
  • D(9,0)

Q5:

Find the point of symmetry of the function 𝑓(𝑥)=1𝑥21.

  • A(1,2)
  • B(2,1)
  • C(2,1)
  • D(1,2)

Q6:

If the function 𝑓(𝑥)=1𝑥, determine the point of symmetry of the function 𝑓(𝑥7).

  • A(0,7)
  • B(7,0)
  • C(0,7)
  • D(7,0)

Q7:

In the graph shown, find the axis of symmetry.

  • A𝑥=1
  • B𝑥=4
  • C𝑥=3
  • D𝑥=3
  • E𝑥=5

Q8:

In the graph shown, find the axis of symmetry.

  • A𝑥=2
  • B𝑥=2
  • C𝑥=1
  • D𝑥=1
  • E𝑥=5

Q9:

In the graph shown, find the axis of symmetry.

  • AThe 𝑥-axis
  • BThe 𝑦-axis
  • CThe origin

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.