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Worksheet: Graphing Quadratic Functions in Standard Form

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:

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

Q3:

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

  • A
  • B
  • C
  • D
  • E

Q4:

The shown figure is a graph of a function 𝑓 .

Which of the following functions has a larger maximum value than the function 𝑓 ?

  • A 𝑔 ( 𝑥 ) = 7 − | 2 + 𝑥 |
  • B 𝑔 ( 𝑥 ) = 8 − 2 3 ( 𝑥 − 5 ) 2
  • C 𝑔 ( 𝑥 ) = ( 𝑥 + 1 ) ( 4 − 𝑥 )
  • D 𝑔 ( 𝑥 ) = 7 𝑥 + 4 − 2 𝑥 2
  • E 𝑔 ( 𝑥 ) = 4 𝑥 + 7 − 2 𝑥 2

Q5:

Which of the following graphs represents the equation 𝑦 = − ( 𝑥 − 4 ) + 1 2 ?

  • A
  • B
  • C
  • D
  • E

Q6:

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

  • A
  • B
  • C
  • D
  • E

Q7:

What function is represented in the figure below?

  • A 𝑓 ( 𝑥 ) = 𝑥 + 1 5 𝑥 + 8 2
  • B 𝑓 ( 𝑥 ) = 𝑥 − 8 𝑥 + 1 5 2
  • C 𝑓 ( 𝑥 ) = 𝑥 − 1 5 𝑥 + 8 2
  • D 𝑓 ( 𝑥 ) = 𝑥 + 8 𝑥 + 1 5 2
  • E 𝑓 ( 𝑥 ) = − 𝑥 − 8 𝑥 − 1 5 2

Q8:

Which of the following function types describes the graph shown?