# Lesson Worksheet: Graphing Quadratic Functions Mathematics

In this worksheet, we will practice graphing any quadratic function using a table of values and a given interval and identifying the features of the graph.

Q1:

Sketch the graph of the quadratic function on the domain interval by completing the following table.

 𝑥 𝑓(𝑥) −2 −1 0 1 2 ⋯ ⋯ ⋯ ⋯ ⋯
• A • B • C • D • E Q2:

By completing the table of values for , identify the correct graph of the quadratic function.

 𝑥 𝑓(𝑥) −2 −1 0 1 2 ⋯ ⋯ ⋯ ⋯ ⋯
• A • B • C • D • E Q3:

Identify the -intercepts of the quadratic function . • A,
• B,
• C,
• D,
• E,

Q4:

Identify the -intercepts of the quadratic function . • A
• B
• C
• D
• E

Q5:

Identify the coordinates of the vertex of the quadratic function . • A
• B
• C
• D
• E

Q6:

Identify the axis of symmetry of the quadratic function . • A
• B
• C
• D
• E

Q7:

By completing the table of values for , identify the correct graph of the quadratic function on the domain .

 𝑥 𝑓(𝑥) −4 −3 −2 −1 0
• A • B • C • D • E Identify the -intercepts of the given quadratic function.

• A,
• B,
• C,
• D,
• E,

Identify the -intercept of the given quadratic function.

• A
• B
• C
• D
• E

Identify the axis of symmetry of the given quadratic function.

• A
• B
• C
• D
• E

Identify the vertex of the given quadratic function.

• A
• B
• C
• D
• E

Q8:

Which of the following graphs represents the quadratic function that has a vertex at ?

• A • B • C • D • E Q9: Does the given quadratic function open upward or downward?

• AUpward
• BDownward

Does the given quadratic function have a maximum or a minimum value?

• AMaximum
• BMinimum

What is the maximum (or minimum) value of the given quadratic function?

• A
• B
• C
• D
• E

Q10:

Which of the following graphs represents the quadratic function that intersects the at and the at ?

• A • B • C • D • E 