Exploring Average Rate of Change in Quadratic Functions

The video tutorial explains how to calculate the average rate of change using the formula (y2-y1)/(x2-x1). It demonstrates the process with two example problems, showing how to label points, substitute values into the formula, and simplify the results. The tutorial emphasizes that the order of points does not affect the outcome.

What formula is used to calculate the average rate of change?

• y2 - y1 / x2 - x1

• x2 - x1 / y2 - y1

• y1 - y2 / x1 - x2

• x1 - x2 / y1 - y2

What are the coordinates of the first point in the first example?

• (-1, -4)

• (0, 1)

• (1, -1)

• (1, 0)

In the first example, what is the value of y2?

• -1

• 0

• -4

• 1

What is the simplified result of -4 divided by -2 in the first example?

• 4

• 2

• -2

• -4

What are the coordinates of the first point in the second example?

• (-3, 0)

• (0, -3)

• (-1, -4)

• (1, 0)

In the second example, what is the value of x2?

• -3

• 0

• 1

• -1

What is the result of -1 minus -3 in the second example?

• -4

• 2

• 4

• -2

What is the simplified result of -4 divided by 2 in the second example?

• 2

• 4

• -4

• -2

Does the order of points affect the average rate of change calculation?

• Yes, but only for positive values

• No, but it changes the sign

• No, it does not change the result

• Yes, it changes the result

What is the average rate of change for the second example?

• 2

• -2

• 4

• -4