Understanding Quadratic Functions

The video tutorial explains key characteristics of a quadratic function graph. It covers identifying the vertex, determining the maximum value, and understanding the domain and range. The tutorial also discusses intervals where the function is increasing or decreasing and identifies the x and y intercepts.

What is the vertex of the parabola given in the graph?

• (0, 0)

• (2, 4)

• (4, 2)

• (6, 0)

Tags

CCSS.HSF-IF.C.7A

Which line represents the axis of symmetry for the parabola?

• y = 2

• x = 2

• y = 4

• x = 4

What is the maximum value of the quadratic function?

• 6

• 4

• 8

• 2

What is the domain of the quadratic function?

• x = 2

• All real numbers

• x < 0

• x > 0

Tags

CCSS.HSF-IF.C.7A

What is the range of the quadratic function?

• y > 4

• y < 4

• y ≥ 4

• y ≤ 4

On which interval is the function increasing?

• (0, 4)

• (-∞, 2)

• (2, ∞)

• (4, ∞)

On which interval is the function decreasing?

• (4, ∞)

• (0, 4)

• (-∞, 2)

• (2, ∞)

Tags

CCSS.HSF-IF.C.7A

Where does the graph cross the x-axis?

• (-2, 0) and (6, 0)

• (2, 0) and (4, 0)

• (0, 0) and (4, 4)

• (0, 3) and (2, 4)

Tags

CCSS.HSF-IF.C.7A

Where does the graph cross the y-axis?

• (0, 0)

• (0, 3)

• (2, 0)

• (4, 0)

What are the coordinates of the y-intercept?

• (0, 0)

• (6, 0)

• (0, 3)

• (2, 4)