# How do I find the inverse of #y=(x+3)^2#?

##### 1 Answer

See the explanation below.

#### Explanation:

The quadratic function which is represented by the graph of a Parabola fails the Horizontal Line Test thus is not a one to one function. Therefore the inverse is not a function unless with restricted domain.

Edit: Adding the solution below to address update in the comments:

Restricting the domain: Recall that the domain and the range of the inverse function are the range and the domain of the original function respectively. The range of the original function in this case is

domain:

range:

This means we need to restrict the domain of the original function to: