Quadratic Functions and Their Properties

Quadratic Functions and Their Properties

Assessment

Interactive Video

Created by

Liam Anderson

Mathematics, Physics

9th - 12th Grade

Hard

This video tutorial covers quadratic functions, starting with the definition and characteristics of polynomials. It explains the average rate of change and different forms of quadratic equations, including standard, slope-intercept, and point-slope forms. The tutorial also demonstrates completing the square with examples and applies these concepts to solve word problems. Finally, it analyzes graphs to understand the relationship between distance, velocity, and time.

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10 questions

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1.

MULTIPLE CHOICE

30 sec • 1 pt

Which of the following is NOT a characteristic of a polynomial?

2.

MULTIPLE CHOICE

30 sec • 1 pt

What is the average rate of change often associated with in physics?

3.

MULTIPLE CHOICE

30 sec • 1 pt

In the slope-intercept form of a line, what does the 'b' represent?

4.

MULTIPLE CHOICE

30 sec • 1 pt

What shape does the graph of a quadratic function form?

5.

MULTIPLE CHOICE

30 sec • 1 pt

In vertex form, what does the 'h' in the equation y = a(x-h)^2 + k represent?

6.

MULTIPLE CHOICE

30 sec • 1 pt

What is the first step in completing the square for a quadratic equation?

7.

MULTIPLE CHOICE

30 sec • 1 pt

When completing the square, why do we subtract the added value from the constant term?

8.

MULTIPLE CHOICE

30 sec • 1 pt

In a projectile motion problem, what does the initial velocity affect?

9.

MULTIPLE CHOICE

30 sec • 1 pt

What is the significance of the vertex in a quadratic function modeling projectile motion?

10.

MULTIPLE CHOICE

30 sec • 1 pt

How can you determine the time a projectile is in the air using a quadratic equation?

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