Exploring Algebra 2 Concepts in IXL K.1

This video tutorial covers the characteristics of quadratic functions, focusing on key concepts such as the y-intercept, vertex, axis of symmetry, and maximum and minimum values. The instructor explains how to identify these features on a graph and provides examples to illustrate each concept. The video also includes a review section with practice questions to reinforce learning.

What shape do quadratic functions typically form?

• Hyperbola

• Parabola

• Ellipse

• Circle

Where does the y-intercept of a quadratic function occur?

• At the axis of symmetry

• At the vertex

• Where the graph crosses the y-axis

• Where the graph crosses the x-axis

What are the coordinates of the vertex for a quadratic function that changes direction at its lowest point?

• (1, 1)

• (0, 0)

• (0, 1)

• (1, 0)

If a quadratic function's graph crosses the y-axis at (0, -5), what is the y-intercept?

• (0, 5)

• (5, 0)

• (0, -5)

• (-5, 0)

What is the equation of the axis of symmetry for a quadratic function with a vertex at (3, -9)?

• x = 3

• y = -9

• x = -9

• y = 3

How do you determine the axis of symmetry for a quadratic function?

• Find where the graph crosses the x-axis

• Find the lowest point

• Find the middle of the graph

• Find the highest point

What is the minimum value of a quadratic function if the lowest y-value is -8?

• -5

• 0

• 8

• -8

What is the maximum value of a quadratic function if the highest y-value is 2?

• 1

• 0

• -2

• 2

If a quadratic function's vertex is at (0, -4), what are the coordinates of the vertex?

• (0, -4)

• (-4, 0)

• (4, 0)

• (0, 4)

What is the equation of the axis of symmetry for a quadratic function with a vertex at (-2, 0)?

• x = 2

• x = -2

• y = 2

• y = -2