**Square root functions** (for example: y= √x) is defined as the function where the output ‘y’ when multiplied by itself (squared) gives the input ‘x’. The symbol **‘√’**is called the **‘radical symbol’** and the general form of any square root function is given by:

The general form of any square root function is given by:

The domain of a square root function is not all real numbers because of the fact that we have a square root right there!

To get real solutions, no negative number is allowed under the square root; hence the domain condition becomes:

**Example:**Find the domain of y = √(x+5)

So, set it according to the above condition always and get

**->** x+5 **> 0 -> ****x > -5**

Interval notation: [-5, infinity)

The constants ‘a’, ’c’ and‘d’ transform the graph of the parent function horizontally and vertically.

**Example: **Graph the function: y= √(x-4) – 2

**Domain**: x- c>= 0 **-> x>= 4**

Then fill the table with values based on the domain.

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