Answer:
y = -x^2
Explanation:
First off you can tell that the graph represents a negative,
nonlinear function due to the direction of the 2 "lines" from
point (0,0). This simply means you can eliminate the graph
representing y = 2x^2 as one of the choices. Now as this is
squared function (^2) you can tell that every x value should be
squared to receive the y value. Here I am suggesting a simple
- x^2 to be defined for the graph. Take x = 1 as the first
example. If x is squared then y is equal to 1 as well. This is
represented as two coordinates on the graph, when the y value
is negative and when the y value is positive. Now say x = 2.
When x is squared y = 4, represented by the graph as two
points as well, when y is a negative value of 4 and a positive.
This shows that the graph resembles the function -x^2 (y = -x^2)