# How many x-intercepts does the graph of y = -(x + 1)^{2} - 2 have?

For a function f(x), x-intercept are the points of the form (a, 0) that gives the value of the function f(x) zero.

## Answer: The graph of y = -(x + 1)^{2} - 2 has no x-intercept.

We will substitute 0 for y in the given equation to find the x-intercept.

**Explanation:**

0 = -(x + 1)^{2} - 2

(x + 1)^{2} = - 2

The square of any real number cannot be negative. So, this is not possible.

Look at the graph of this function. You can observe that the graph does not cross the x-axis.