# How do you graph #y=sqrt(x+1)#, compare it to the parent graph and what is the domain and range?

##### 2 Answers

Domain:

Range:

#### Explanation:

The parent graph is

The domain of the function is when the bit inside the square root is greater than or equal to zero (otherwise it wouldn't be defined in terms of real numbers). We can find out when this is the case by solving the following inequality:

So, our domain is

The range of the parent graph,

Quadratic of form

Symmetrical about the x-axis

Domain ('input for

Range ('output' for

#### Explanation:

This is a quadratic in

It is the same as the form

Square both sides

Consider the standardised form of