# How do you find the critical points to sketch the graph #y=x(x+2)^2#?

##### 1 Answer

Please see below.

#### Explanation:

A critical number for a function

To find

# = (x+2)[(x+2)+2x)#

# = (x+2)(3x+2)#

The critical numbers are

**If you have been taught that critical point is the same as critical number** , then you are done.

You will answer: the critical points are

**If you have been taught that a critical point is a point on a graph** , then you still need to find the corresponding

So you will answer: the critical points are