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

Q7:

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

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

Q8:

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

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

Q9:

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

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

Q10:

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

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