# How do you find the x intercept of #y = -|x+10|#?

##### 1 Answer

The x intercept of a function always occurs when **y = 0**. Therefore, we must solve the equation for x.

#### Explanation:

When solving an absolute value equation, you must consider two scenarios.

a) The absolute value is positive

b) The absolute value is negative

So, there is only 1 x intercept in this case. Here is a graph of your function:

graph{y = -|x + 10| [-20.27, 20.28, -10.14, 10.13]}

However, we must always check. In many cases, there will be more than one x intercept.

**Example:**

Find the x intercept(s) of

a) The absolute value is

b) The absolute value is

Thus, we have two x intercepts:

graph{y = |2x + 6| - 4 [-20.27, 20.28, -10.14, 10.13]}

**Practice exercises:**

- Indicate all the x intercepts of the functions below.

a)

b)

c)

Good luck!