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Worksheet: Completing the Square

Increase your proficiency in completing the square using this worksheet. Practice completing the square for quadratics when the leading term is equal to one and then for examples where it is less than or greater to one.

Q1:

Given that , what are the values of and ?

  • A,
  • B,
  • C,
  • D,
  • E,

Q2:

Given that , what are the values of and ?

  • A,
  • B,
  • C,
  • D,
  • E,

Q3:

Given that , what are the values of and ?

  • A, ,
  • B, ,
  • C, ,
  • D, ,
  • E, ,

Q4:

Given that , what are the values of , , and ?

  • A, ,
  • B, ,
  • C, ,
  • D, ,
  • E, ,

Q5:

What is the vertex form of the function ?

  • A
  • B
  • C
  • D
  • E

Q6:

What is the vertex form of the function ?

  • A
  • B
  • C
  • D
  • E

Q7:

In completing the square for quadratic function , you arrive at the expression . What is the value of ?

  • Published