Exploring Characteristics of Quadratic Function Graphs

Mrs. Kerr introduces Algebra 1 students to quadratic functions, focusing on key features like the y-intercept, axis of symmetry, maximum and minimum values, and the vertex. She explains how these features are identified in parabolas, using examples to illustrate concepts such as symmetry and vertex coordinates. The tutorial emphasizes understanding the graph's structure and how to determine specific values and points.

What shape does a quadratic equation form?

• A U-shaped curve

• A circle

• A zigzag line

• A straight line

In the given example, what is the y-intercept of the parabola?

• 6

• 7

• 8

• 5

What does the axis of symmetry do to a parabola?

• Makes it narrower

• Makes it wider

• Cuts it horizontally

• Cuts it vertically

What is the equation of the axis of symmetry for a vertical line passing through x = 1?

• x = -1

• y = -1

• y = 1

• x = 1

If a parabola is symmetrical around x = 2, what is the equation of its axis of symmetry?

• x = -2

• y = 2

• x = 2

• y = -2

What does the maximum value of a parabola refer to?

• The highest x-value

• The highest y-value

• The lowest x-value

• The lowest y-value

What is the maximum value of the given parabola?

• 3

• 1

• 0

• 2

What is the vertex of a parabola?

• The point where it crosses the x-axis

• The point where it crosses the y-axis

• The highest or lowest point

• The midpoint of the parabola

For a vertex at (-3, -9), what are the coordinates?

• (-3, 9)

• (-3, -9)

• (3, -9)

• (3, 9)

If a parabola has a vertex at (8, 0), what are the coordinates?

• (-8, 0)

• (0, -8)

• (0, 8)

• (8, 0)