Question

Graph the data in the table below. Which kind of function best models the data? Write an equation to model the data.

X Y
0 0
1 -2
2 0
3 6
4 16
1. exponential; y = 2•4x
2. quadratic; y = 2x2 + 4x – 3
3. linear; y = – 2x
4. quadratic; y = 2x2 – 4x

Answer 1

A quadratic function is the best model.

The data points are symmetric about the line x = 8.

The symmetry indicates the points might lie on a parabola.

Answer 2

The data represented by the table is a quadratic equation with formular y = 2x^2 - 4x