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Lesson: Equation of a Quadratic Graph

Video

18:01

Sample Question Videos

Worksheet • 25 Questions • 1 Video

Q1:

Which of the following graphs represents 𝑓 ( 𝑥 ) = 𝑥 + 1 2 ?

  • A(a)
  • B(b)
  • C(d)
  • D(c)

Q2:

Write the quadratic equation represented by the graph shown.

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

Q3:

Write the quadratic equation represented by the graph shown.

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

Q4:

Write the quadratic equation represented by the graph shown.

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

Q5:

Write the quadratic equation represented by the graph shown.

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

Q6:

Write the quadratic equation represented by the graph shown.

  • A 𝑦 = ( 𝑥 + 7 ) 2
  • B 𝑦 = 𝑥 ( 𝑥 + 7 )
  • C 𝑦 = 𝑥 + 7 2
  • D 𝑦 = ( 𝑥 7 ) 2
  • E 𝑦 = ( 𝑥 + 7 ) 2

Q7:

Write the quadratic equation represented by the graph shown.

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

Q8:

Write the quadratic equation represented by the graph shown.

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

Q9:

Write the quadratic equation represented by the graph shown. Give your answer in standard form.

  • A 𝑦 = 𝑥 + 6 𝑥 1 6 2
  • B 𝑦 = 𝑥 1 0 𝑥 + 1 6 2
  • C 𝑦 = 𝑥 6 𝑥 1 6 2
  • D 𝑦 = 𝑥 + 1 0 𝑥 + 1 6 2
  • E 𝑦 = 𝑥 1 0 𝑥 1 6 2

Q10:

Write the quadratic equation represented by the graph shown. Give your answer in standard form.

  • A 𝑦 = 𝑥 7 𝑥 + 3 0 2
  • B 𝑦 = 𝑥 1 3 𝑥 + 3 0 2
  • C 𝑦 = 𝑥 + 7 𝑥 3 0 2
  • D 𝑦 = 𝑥 1 3 𝑥 + 3 0 2
  • E 𝑦 = 𝑥 + 7 𝑥 + 3 0 2

Q11:

Write the quadratic equation represented by the graph shown. Give your answer in standard form.

  • A 𝑦 = 4 𝑥 + 4 𝑥 1 5 2
  • B 𝑦 = 4 𝑥 1 6 𝑥 + 1 5 2
  • C 𝑦 = 4 𝑥 4 𝑥 1 5 2
  • D 𝑦 = 4 𝑥 1 6 𝑥 + 1 5 2
  • E 𝑦 = 4 𝑥 4 𝑥 + 1 5 2

Q12:

Write the quadratic equation represented by the graph shown. Give your answer in standard form.

  • A 𝑦 = ( 𝑥 6 ) + 3 2
  • B 𝑦 = ( 𝑥 6 ) ( 𝑥 + 3 )
  • C 𝑦 = ( 𝑥 6 ) + 3 2
  • D 𝑦 = ( 𝑥 6 ) ( 𝑥 + 3 )
  • E 𝑦 = ( 𝑥 + 6 ) + 3 2

Q13:

Write the quadratic equation represented by the graph shown. Give your answer in factored form.

  • A 𝑦 = 𝑥 ( 𝑥 5 )
  • B 𝑦 = ( 𝑥 9 ) 2
  • C 𝑦 = 𝑥 ( 𝑥 5 )
  • D 𝑦 = 𝑥 ( 𝑥 + 5 )
  • E 𝑦 = 𝑥 ( 𝑥 + 5 )

Q14:

Write the quadratic equation represented by the graph shown. Give your answer in factored form.

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

Q15:

Write the quadratic equation represented by the graph shown. Give your answer in factored form.

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

Q16:

The point ( 𝑎 6 , 0 ) is the vertex of the graph of the quadratic function 𝑓 . If the solution set of the equation 𝑓 ( 𝑥 ) = 0 is { 5 } , what is the value of 𝑎 ?

Q17:

Given that the point ( 4 , 4 ) is the vertex of the graph of the quadratic function 𝑓 , and 6 is a root of the equation 𝑓 ( 𝑥 ) = 0 , find the other root of the equation.

Q18:

Which of the following graphs represents the equation 𝑦 = 𝑥 5 𝑥 + 8 2 ?

  • A
  • B
  • C
  • D