Answer:
The given graph is not a direct variation.
Explanation:
A direct variation occurs when the rate of change between any two points on a graph is always the same. In this sense, direct variation only occurs when a graph is linear. The given graph is parabolic; its equation is
. Therefore, it does not exhibit direct variation, as the slope between consecutive points continually changes.
If you want to prove this claim, show that the slope changes between the given points: the rate of change from (2,4) to (3,9) is greater than the rate of change from (0,0) to (2,4).