$\"\"$

The function is $\"\"$ .

Since $\"\"$ is cannot be negative, the minimum point of the graph is $\"\"$ .

$\"\"$ (Original function)

$\"\"$ (Subtitute $\"\"$ in the function)

$\"\"$ (Subtitute $\"\"$ )

$\"\"$ (Subtract $\"\"$ from each side)

$\"\"$ (Apply additive inverse property: $\"\"$ )

$\"\"$

Make a table of values for $\"\"$ and $\"\"$ .

\ \

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

Observe the table,

The $\"\"$ and $\"\"$ values are represents the domain and range of the function.

The domain of the function is $\"\"$

The range of the function is $\"\"$ .

Therefore, domain is all real numbers and range is greater than or equal to $\"\"$ .

$\"\"$

Graph:

Graph the function $\"\"$ .

$\"\"$

Observe the graph,

The graph of $\"\"$ is shifted the $\"\"$ units to the left.

$\"\"$

Graph of the function $\"\"$ is

$\"\"$

Domain is all real numbers.

Range is all greater than or equal to $\"\"$ .