. 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 –3 1 –2 2 –3 3 –6 4 –11 quadratic; y = –x2 – 3 quadratic; y = –x2 + 2x – 3 exponential; y = –3 ⋅ 1.5x linear; y = –2x – 3
To graph the data points given in the table, we can plot the points (0, -3), (1, -2), (2, -3), (3, -6), and (4, -11).
The graph shows a curve rather than a straight line, which indicates that a quadratic function best models the data points.
The equation that models the data is y = -x^2 - 3.
Here is the graph:
The blue curve represents the quadratic function y = -x^2 - 3 passing through the given data points.