The equation is
.
Compare the equation to
.
Than A = 1, B = 4, C = 4, D = 0, E =
, F = 5.
Rotate the axis and angle to the equation
.
(Substitute A = 1, B = 4, C = 4)

Now using the half angle formulas in the form
\


Substitute in
.
(Take out common term
)
Substitute in
.





Using the formulas
.







(Take out common term 5)



(Using the formula
)
This is the equation of parabola, center at (
1, 0) and a =
major axis is x\\'-axis.
vertices are (
1, 0), focus (
1,
) and directrix line y =
on the x\\'-axis.
To graph of the equation
\
The parabola equation is
, center at (
1, 0), a =
,
transverse axis is the x\\'-axis.
\vertices are (
1, 0), focus (
1,
) and directrix line y =
on the x\\'-axis.
