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Problem
Problem
Let
f
(
x
)
=
(
x
−
1
)
2
−
4
f(x) = (x - 1)^2 - 4
f
(
x
)
=
(
x
−
1
)
2
−
4
. a.
a
Describe the transformation which transforms
y
=
f
(
x
)
y = f(x)
y
=
f
(
x
)
to
y
=
f
(
−
x
)
y = f(-x)
y
=
f
(
−
x
)
. b.
b
Describe the transformation which transforms
y
=
f
(
−
x
)
y = f(-x)
y
=
f
(
−
x
)
to
y
=
f
(
−
1
2
x
)
y = f(-\frac{1}{2}x)
y
=
f
(
−
2
1
x
)
. c.
c
Hence draw the graphs of
y
=
f
(
x
)
y = f(x)
y
=
f
(
x
)
,
y
=
f
(
−
x
)
y = f(-x)
y
=
f
(
−
x
)
, and
y
=
f
(
−
1
2
x
)
y = f(-\frac{1}{2}x)
y
=
f
(
−
2
1
x
)
on the same set of axes.
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