Worksheet: Graphing Quadratic Functions in Standard Form

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In this worksheet, we will practice graphing any quadratic function that is given in its standard form using a table of values.

Q1:

Which of the following graphs represents the equation 𝑦 = 𝑥 + 3 2 ?

  • A
  • B
  • C
  • D
  • E

Q2:

What is the function whose graph is shown below?

  • A 𝑓 ( 𝑥 ) = ( 𝑥 − 6 ) 2
  • B 𝑓 ( 𝑥 ) = 𝑥 + 1 2 𝑥 + 7 2 2
  • C 𝑓 ( 𝑥 ) = − ( 𝑥 + 6 ) 2
  • D 𝑓 ( 𝑥 ) = ( 𝑥 + 6 ) 2

Q3:

Which of the following graphs represents the equation 𝑦 = − ( 𝑥 + 3 ) ( 𝑥 − 6 ) ?

  • A
  • B
  • C
  • D
  • E

Q4:

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

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

Rewrite your equation in standard form.

  • A 𝑦 = − 𝑥 − 6 𝑥 − 1 3 2
  • B 𝑦 = − 𝑥 − 6 𝑥 − 5 2
  • C 𝑦 = − 𝑥 + 6 𝑥 − 5 2
  • D 𝑦 = 𝑥 + 6 𝑥 + 5 2
  • E 𝑦 = 𝑥 − 6 𝑥 + 1 3 2

Q5:

Which of the following graphs represents the equation 𝑦 = ( 𝑥 + 4 ) ( 𝑥 − 2 ) ?

  • A
  • B
  • C
  • D
  • E

Q6:

Which of the following graphs represents the equation 𝑦 = 𝑥 ( 𝑥 − 9 ) ?

  • A
  • B
  • C
  • D