$\"\"$

The function is $\"\"$ .

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

$\"\"$ (Original function)

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

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

$\"\"$ (Substitute: $\"\"$ )

$\"\"$ (Add $\"\"$ to each side)

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

$\"\"$ (Divide each side by $\"\"$ )

$\"\"$ (Cancel common terms) $\"\"$

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

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Observe the table,

The $\"\"$ and $\"\"$ value 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 all real numbers 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 real numbers greater than or equal to $\"\"$ .