The equation that could represent the graph is y = -x² - 2
Writing an equation that could represent the graph
From the question, we have the following parameters that can be used in our computation:
The graph
The graph is a quadratic equation
So, we can use the following for
y = a(x - h)² + k
The vertex can be estimated to be (0, -2)
So, we have
y = a(x - 0)² - 2
y = ax² - 2
The graph opens down
So, a is negative
This gives
y = -x² - 2
Hence, an equation that could represent the graph is y = -x² - 2