# Worksheet: Vertex of a Parabola

In this worksheet, we will practice identifying the coordinates of a vertex of a quadratic graphically and algebraically and whether it is a maximum or a minimum.

Q1:

Find the coordinates of the vertex of the function .

• A
• B
• C
• D

Q2:

At which value of does the function have its minimum?

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:

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

Q5:

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.

Q6:

An object is projected such that it follows a parabolic path given by , where is the horizontal distance traveled in feet and is the height. Determine how far along the horizontal the object traveled to reach the maximum height.

Q7:

Which of these functions has the greatest maximum value?

• A
• B
• C
• D

Q8:

The vertex of the curve of a quadratic function is a maximum point if the sign of the coefficient of is , and is a minimum point if the sign of the coefficient of is .

• A negative, positive
• B positive, negative

Q9:

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.

Q10:

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 .

Q11:

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.

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