$\"\"$

\

Observe the graph:

\

The focus is $\"\"$ .

\

The directrix is $\"\"$ .

\

Since the directrix is $\"\"$ , the graph opens horizontally.

\

Standard form of the horizontal parabola is $\"\"$ ,

\

where $\"\"$ is vertex.

\

Focus $\"\"$ .

\

Directrix $\"\"$ .

\

$\"\"$

\

The focus is $\"\"$ .

\

Equate $\"\"$ -coordinate.

\

$\"\"$ .

\

Directrix is $\"\"$ .

\

Compare directrix with $\"\"$ .

\

$\"\"$ .

\

Add equation $\"\"$ and equation $\"\"$ .

\

$\"\"$

\

$\"\"$ .

\

Substitute $\"\"$ in $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

The vertex is $\"\"$ .

\

Substitute $\"\"$ and $\"\"$ in $\"\"$ .

\

$\"\"$

\

$\"\"$ .

\

$\"\"$

\

The equation of parabola is $\"\"$ .