Answer:
Option d. quadratic is the answer.
Explanation:
When we plot the given points on a graph, we find that with the increase in values of x, y coordinates initially increase then decrease.
This clearly indicates to be a curve opening downwards.
A curve with its vertex as (0,0) will be represented by y = x² (Parabola).
If this curve is opening downwards that means it is y = -x²
Therefore, we can predict that the given data is of a quadratic equation.
Now we can check the graph by plotting the given points.
The given graph is representing y = -(x - 2)² + 4 which is a translated form of parent graph y = -x² (quadratic equation).
Therefore, Option d. quadratic is the answer.