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Lesson: Recognizing Features of Quadratic Functions

Sample Question Videos

Worksheet • 22 Questions • 1 Video

Q1:

Find the coordinates of the vertex of the graph of 𝑓 ( π‘₯ ) = π‘₯ βˆ’ 6 π‘₯ βˆ’ 4 2 . State the value of the function at the vertex and determine whether it is a maximum or minimum value.

  • A The vertex is ( 3 , βˆ’ 1 3 ) , the value of the function at the vertex is βˆ’ 1 3 , it is a minimum value.
  • B The vertex is ( 3 , βˆ’ 1 3 ) , the value of the function at the vertex is βˆ’ 1 3 , it is a maximum value.
  • C The vertex is ( 3 , βˆ’ 1 3 ) , the value of the function at the vertex is 3, it is a minimum value.
  • D The vertex is ( βˆ’ 1 3 , 3 ) , the value of the function at the vertex is 3, it is a maximum value.
  • E The vertex is ( βˆ’ 1 3 , 3 ) , the value of the function at the vertex is βˆ’ 1 3 , it is a minimum value.

Q2:

Find the coordinates of the vertex of the graph of 𝑓 ( π‘₯ ) = π‘₯ + 4 π‘₯ + 5 2 . State the value of the function at the vertex and determine whether it is a maximum or minimum value.

  • A The vertex is ( βˆ’ 2 , 1 ) , the value of the function at the vertex is 1, it is a minimum value.
  • B The vertex is ( βˆ’ 2 , 1 ) , the value of the function at the vertex is 1, it is a maximum value.
  • C The vertex is ( βˆ’ 2 , 1 ) , the value of the function at the vertex is βˆ’ 2 , it is a minimum value.
  • D The vertex is ( 1 , βˆ’ 2 ) , the value of the function at the vertex is βˆ’ 2 , it is a maximum value.
  • E The vertex is ( 1 , βˆ’ 2 ) , the value of the function at the vertex is 1, it is a minimum value.

Q3:

Find the coordinates of the vertex of the graph of 𝑓 ( π‘₯ ) = βˆ’ π‘₯ + 2 π‘₯ + 2 2 . State the value of the function at the vertex and determine whether it is a maximum or minimum value.

  • A The vertex is ( 1 , 3 ) , the value of the function at the vertex is 3, it is a maximum value.
  • B The vertex is ( 1 , 3 ) , the value of the function at the vertex is 3, it is a minimum value.
  • C The vertex is ( 1 , 3 ) , the value of the function at the vertex is 1, it is a maximum value.
  • D The vertex is ( 3 , 1 ) , the value of the function at the vertex is 1, it is a minimum value.
  • E The vertex is ( 3 , 1 ) , the value of the function at the vertex is 3, it is a maximum value.
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