Question

1. Write an equation that could represent the graph below. Justify why your equation is appropriate for this graph. у​

Answer 1

-x^2

Explanation:

Answer 2

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