Understanding Quadratic Functions

The video tutorial explains the key characteristics of quadratic functions using a graph. It covers the domain and range, using interval notation and inequalities. The tutorial also discusses intervals where the function is increasing or decreasing, and identifies the vertex and axis of symmetry. Finally, it determines the minimum value and intercepts of the function, providing a comprehensive understanding of quadratic functions.

What is the domain of a quadratic function?

• All positive numbers

• All negative numbers

• All real numbers

• Only integers

How can the range of a quadratic function be expressed if the lowest point is -4?

• (-4, ∞)

• [-4, ∞)

• (-∞, -4]

• (-∞, ∞)

Tags

CCSS.HSF-IF.C.7A

When is a quadratic function considered to be increasing?

• When moving left to right and going uphill

• When moving right to left and going downhill

• When moving left to right and going downhill

• When moving right to left and going uphill

In which interval is the function decreasing?

• (-3, ∞)

• (-3, 0)

• (-∞, -3)

• (-∞, ∞)

What is the x-coordinate of the vertex in the given quadratic function?

• 3

• -3

• 0

• -4

Which of the following is true about the vertex of a quadratic function?

• It is always on the x-axis.

• It is always at the origin.

• It is the lowest point of the graph.

• It is the highest point of the graph.

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

• x = 0

• x = -3

• y = 0

• y = -3

What is the minimum value of the quadratic function?

• x = -3

• y = -4

• y = -3

• x = -4

Tags

CCSS.HSF-IF.C.7A

What are the x-intercepts of the quadratic function?

• (-5, 0) and (-1, 0)

• (-5, 0) and (5, 0)

• (-50, 0) and (-10, 0)

• (0, 5) and (5, 0)

Tags

CCSS.HSF-IF.C.7A

What is the y-intercept of the quadratic function?

• (0, -5)

• (0, 5)

• (5, 0)

• (-5, 0)

Tags

CCSS.HSF-IF.C.7A