$\"\"$

The function $\"\"$ .

Change $\"image\"$ to $\"image\"$ .

$\"\"$ .

The function is half an ellipse.

Convert the above equation in standard form of ellipse.

$\"\"$ .

Squaring on both sides.

$\"\"$ .

Compare it to standard form of vertical ellipse $\"\"$ (Center at origin).

Where $\"\"$ .

$\"\"$ is length of semi major axis and $\"\"$ is semi minor axis.

$\"\"$ .

In this case major axis length is 6 units and minor axis length is 2 units.

$\"\"$

Graph:

Draw the coordinate plane.

The function is square root function. So negative $\"\"$ values is not possible.

Sketch the curve in first and second quadrants only.

$\"\"$

Observe the graph: The $\"image\"$ -intercepts are $\"\"$ , $\"\"$ and $\"image\"$ -intercept is $\"\"$ .

$\"\"$

The $\"image\"$ -intercepts are $\"\"$ , $\"\"$ and $\"image\"$ -intercept is $\"\"$ .

$\"\"$