Question

Question 3.1.-What does it mean to say that a data set has linear first differences?2.-What is the relationship between the second difference of a quadratic equation and its associated graph?3.-What does a second difference indicate?

Answer 1

Given:

The second difference of a quadratic equation.

Explanation:

We know that,

The quadratic equation is characterized by the fact that the difference between terms always changes by the same amount.

Consequently, the difference of the differences between the data of the quadratic equation is always the same.

That means, the second difference is constant.

Therefore, the second difference of a quadratic equation indicates the constant value.

Final answer:

The second difference of the quadratic equation indicates a constant value.