Worksheet: Writing a Cubic Equation from Its Graph

In this worksheet, we will practice writing a cubic equation given its graph.

Q1:

Which graph represents the function 𝑦 = 2 . 5 𝑥 + 3 3 ?

  • A(b)
  • B(a)
  • C(d)
  • D(c)

Q2:

Select the equation of this curve.

  • A
  • B
  • C
  • D
  • E

Q3:

Which equation matches the graph?

  • A 𝑦 = ( 𝑥 + 2 ) + 1 3
  • B 𝑦 = ( 𝑥 2 ) 1 3
  • C 𝑦 = ( 𝑥 2 ) + 1 3
  • D 𝑦 = ( 𝑥 + 2 ) 1 3

Q4:

Which equation matches the graph?

  • A 𝑦 = 2 ( 𝑥 1 ) + 4 3
  • B 𝑦 = ( 𝑥 1 ) + 4 3
  • C 𝑦 = 1 3 ( 𝑥 1 ) + 4 3
  • D 𝑦 = 3 ( 𝑥 1 ) + 4 3
  • E 𝑦 = 1 2 ( 𝑥 1 ) + 4 3

Q5:

Which equation matches the graph?

  • A 𝑦 = ( 𝑥 1 ) + 2 3
  • B 𝑦 = 2 5 ( 𝑥 1 ) + 2 3
  • C 𝑦 = ( 𝑥 1 ) + 2 3
  • D 𝑦 = 2 5 ( 𝑥 1 ) + 2 3
  • E 𝑦 = 2 5 ( 𝑥 + 1 ) + 2 3

Q6:

Which equation matches the graph?

  • A 𝑦 = 1 3 ( 𝑥 + 3 ) + 2 3
  • B 𝑦 = 1 3 ( 𝑥 3 ) + 2 3
  • C 𝑦 = 1 3 ( 𝑥 3 ) + 2 3
  • D 𝑦 = 1 3 ( 𝑥 + 3 ) + 2 3
  • E 𝑦 = 1 3 ( 𝑥 + 2 ) 3 3

Q7:

Which of the graphs matches the equation 𝑦 = 2 ( 𝑥 + 2 ) + 3 3 ?

  • AC
  • BA
  • CD
  • DB

Q8:

Which of the graphs matches the equation 𝑦 = 1 4 ( 𝑥 3 ) 1 3 ?

  • AB
  • BA
  • CC
  • DD

Q9:

Which of the graphs matches the equation 𝑦 = 2 ( 𝑥 + 3 ) + 2 3 ?

  • AC
  • BA
  • CD
  • DB

Q10:

Select the equation of this curve.

  • A
  • B
  • C
  • D
  • E

Q11:

Select the equation of this curve.

  • A
  • B
  • C
  • D
  • E

Q12:

Select the equation of this curve.

  • A
  • B
  • C
  • D
  • E

Q13:

Select the equation of this curve.

  • A
  • B
  • C
  • D
  • E

Q14:

Select the equation of this curve.