Key Characteristics of Quadratic Function Graphs

The video tutorial explains the key characteristics of quadratic functions using a graph. It covers the domain and range, identifying them using interval notation. The tutorial also discusses intervals where the function is increasing or decreasing, and how to determine the vertex and axis of symmetry. Finally, it explains how to find the minimum value and intercepts of the function.

What is the domain of a quadratic function?

• All negative numbers

• All positive numbers

• All real numbers

• All integers

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TEKS.MATH.2A.2A

TEKS.MATH.2A.7I

TEKS.MATH.A.2A

TEKS.MATH.A.6A

TEKS.MATH.A.9A

How can the domain of a quadratic function be expressed using interval notation?

• (-∞, -∞)

• (0, ∞)

• (-∞, 0)

• (-∞, ∞)

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TEKS.MATH.2A.2A

TEKS.MATH.2A.6K

TEKS.MATH.2A.7I

TEKS.MATH.A.2A

TEKS.MATH.A.6A

What is the range of the given quadratic function?

• (-∞, 4]

• (-∞, -4]

• [-4, ∞)

• (-4, ∞)

Tags

TEKS.MATH.2A.2A

TEKS.MATH.2A.6K

TEKS.MATH.2A.7I

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In interval notation, how is the range of the quadratic function expressed?

• (-∞, -4]

• [-4, ∞)

• (-∞, ∞)

• (-4, ∞)

When is the function decreasing?

• From -∞ to -3

• From 0 to ∞

• From -∞ to 0

• From -3 to ∞

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TEKS.MATH.P.2I

When is the function increasing?

• From 0 to ∞

• From -∞ to -3

• From -3 to ∞

• From -∞ to 0

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TEKS.MATH.P.2I

What are the coordinates of the vertex of the quadratic function?

• (-3, 4)

• (-4, -3)

• (-3, -4)

• (3, -4)

Tags

TEKS.MATH.A.7A

What is the equation of the axis of symmetry for the quadratic function?

• y = -4

• y = -3

• x = -3

• x = -4

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TEKS.MATH.A.7A

What is the minimum value of the quadratic function?

• y = 4

• y = 3

• y = -4

• y = -3

Tags

TEKS.MATH.A.7A

Where does the quadratic function cross the y-axis?

• (0, -5)

• (-5, 0)

• (5, 0)

• (0, 5)

Tags

TEKS.MATH.A.7A