You have five points:
A (0 , 0)
B (1 , -2)
C (2 , 0)
D (3 , 6)
E (4 , 16)
Plot these points in a Cartesian plane (see picture attached).
You can deduct what is the correct answer: from the graph, you can see that it is not a linear nor an exponential equation. Indeed, parabolic curves indicate a quadratic function.
Since the graph passes through the point (0, 0), the corresponding function must have a constant term equal to zero.
Therefore the correct answer is: quadratic; y = 2x² – 4x
As a proof, you can substitute the coordinates of your points to see if they belong to this function (and they do).
