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Examples
Step-by-Step Examples
Conic Sections
Find the Standard Form of the Parabola
f
(
x
)
=
(
x
+
1
)
2
−
4
f
(
x
)
=
(
x
+
1
)
2
-
4
Step 1
Write
f
(
x
)
=
(
x
+
1
)
2
−
4
f
(
x
)
=
(
x
+
1
)
2
-
4
as an
equation
.
y
=
(
x
+
1
)
2
−
4
y
=
(
x
+
1
)
2
-
4
Step 2
Since
x
x
is on the right side of the
equation
, switch the sides so it is on the left side of the
equation
.
(
x
+
1
)
2
−
4
=
y
(
x
+
1
)
2
-
4
=
y
Step 3
Add
4
4
to both sides of the
equation
.
(
x
+
1
)
2
=
y
+
4
(
x
+
1
)
2
=
y
+
4
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⎡
⎢
⎣
x
2
1
2
√
π
∫
x
d
x
⎤
⎥
⎦
[
x
2
1
2
π
∫
x
d
x
]
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