How do you write x=2y2−28y+116 into vertex form?
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I change the notation for easy understanding.
y = 2x^2 - 28x + 116
x of vertex:
x
=
(
−
b
2
a
)
=
28
4
=
7
y of vertex:
f
(
7
)
=
2
.
(
49
)
−
28
(
7
)
+
116
=
98
−
196
+
116
=
18
Vertex form
f
(
x
)
=
2
(
x
−
7
)
2
+
18
Check by developing: f(x) = 2(x^2 - 14x + 49) + 18 =
= 2x^2 - 28x + 116. OK
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