The equation is
.
Since the
-term is squared, the parabola is horizontal.
Standard form of the horizontal parabola is
.
Where
\Vertex :
.
Focus :
.
Axis of symmetry :
.
Directrix :
.
The parabola equation is
.
Write the equation in standard form.
\
To change the expression
into a perfect square binomial, add
to each side of the equation.
Here
coefficient
.
So,
.
Add
to each side of
.

Compare the above eqation with
.
Since
, the parabola opens left.
Vertex :
,
Focus :
,
Axis of symmetry : 
Directrix :
.
Construct a table values to graph the curve.
\The equation is
.
Solve for
.

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\
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Graph :
\Graph the vertex, focus, axis of symmetry and directrix of the parabola.
\Plot the points obtained in the above table.
\Connect those points with a smooth curve.
\Graph of
:

Vertex :
.
Focus :
.
Axis of symmetry :
.
Directrix :
.
Graph of
is
