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Worksheet: Finding the Vertex of a Quadratic and Determining Its Nature

Q1:

At which value of does the function have its minimum?

Q2:

Find the maximum value of the function .

Q3:

A quadratic function has roots of 3 and 5 and a maximum value of 6. What is its vertex form?

  • A
  • B
  • C
  • D
  • E

Q4:

Find the coordinates of the vertex of the function .

  • A
  • B
  • C
  • D

Q5:

The graph of a quadratic function is above the -axis when is between 7 and 19 and reaches a maximum of 14. What is in vertex form?

  • A
  • B
  • C
  • D
  • E

Q6:

Find the maximum or minimum value of the function , given .

  • AThe minimum value is 0.
  • BThe maximum value is 10.
  • CThe maximum value is 0.
  • DThe minimum value is 10.

Q7:

Find the maximum or minimum value of the function , given .

  • AThe minimum value is 3.
  • BThe maximum value is 6.
  • CThe maximum value is 3.
  • DThe minimum value is 6.
  • EThe minimum value is 15.

Q8:

Find the maximum or minimum value of the function , given .

  • AThe minimum value is 1.
  • BThe maximum value is .
  • CThe maximum value is 1.
  • DThe minimum value is .

Q9:

Find the maximum or minimum value of the function , given .

  • AThe minimum value is 0.
  • BThe maximum value is .
  • CThe maximum value is 0.
  • DThe minimum value is .
  • EThe minimum value is 1.

Q10:

Find the maximum or minimum value of the function , given .

  • AThe minimum value is 2.
  • BThe maximum value is .
  • CThe maximum value is 2.
  • DThe minimum value is .
  • EThe minimum value is 3.