Step 1:

The function $\"image\"$ .

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

$\"image\"$

The function is half an ellipse.

Convert the above equation in standard form of ellipse.

$\"image\"$

Square 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 8 units and minor axis length is 4 units.

Step 2:

Graph:

Draw the coordinate plane.

Plot the center at $\"\"$ .

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

Draw the minor axis and positive part of major axis.

Sketch the curve in first and second quadrants only.

$\"\"$

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