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Mathematics
Problem
Let
f
(
x
)
=
2
x
2
−
4
x
+
5
f(x)=2x^{2}-4x+5
f
(
x
)
=
2
x
2
−
4
x
+
5
. a. (i) Rewrite
f
(
x
)
f(x)
f
(
x
)
in the form
a
(
x
−
h
)
2
+
k
a(x-h)^{2}+k
a
(
x
−
h
)
2
+
k
. b. (ii) Hence find the coordinates of the vertex of the graph of
y
=
f
(
x
)
y=f(x)
y
=
f
(
x
)
. c. (iii) State the domain of
f
f
f
. d. (iv) Determine the range of
f
f
f
.
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