The equation of the parabola is .
The general form of the parabola is , where vertex is
, focus is
and directrix is
.
Compare the equation with general form.
\Here vertex is and
.
The value of .
Substitute in
.
.
The focus is .
The directrix is .
.
Consider latus rectum .
Substitute in
.
.
The points are and
.
Graph :
\(1) Draw the coordinate plane.
\(2) Graph the parabola equation .
(3) Plot the vertex, focus, and the two points and
.
(4) Draw the directrix line.
\(5) Connect the plotted points with smooth curve.
\
The parabola equation is .
The vertix is .
The focus is .
The directrix is .
.