Question

Which of the following tables represents a quadratic relationship between the two variables x and y?

Short answer

Among the tables, the table that represents a quadratic relationship between the two variables x and y is:

Step-by-step solution

Step 1. Given Information.

Given to determine which among the given tables represents a quadratic relationship between the two variables x and y.

Step 2. Explanation.

For

Since all they values are equal, the relationship represents a horizontal line.

For

Since for every 1 unit increase in x, there is 1 units decrease iny, the relationship represents a line a straight line with a slope of -1.

For

Here the y values on either side ofy=2 are equal at equal distances. So this is an upward opening parabola. Hence the relationship represents a quadratic equation.

For

Here the y values oscillate between two values. Hence the relationship represents a wavy curve.

Step 3. Conclusion.

Among the given tables, the table that represents a quadratic relationship between the two variables x and y is.