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Mathematics
Mathematics
Problem
Suppose
f
(
x
)
=
x
2
f(x) = x^2
f
(
x
)
=
x
2
is transformed to
g
(
x
)
=
(
x
−
3
)
2
+
2
g(x) = (x - 3)^2 + 2
g
(
x
)
=
(
x
−
3
)
2
+
2
. a. Find the images of the following points on
f
(
x
)
f(x)
f
(
x
)
: -
(
0
,
0
)
(0, 0)
(
0
,
0
)
-
(
−
3
,
9
)
(-3, 9)
(
−
3
,
9
)
-
(
2
,
4
)
(2, 4)
(
2
,
4
)
b. Find the points on
f
(
x
)
f(x)
f
(
x
)
which correspond to the following points on
g
(
x
)
g(x)
g
(
x
)
: -
(
1
,
6
)
(1, 6)
(
1
,
6
)
-
(
−
2
,
27
)
(-2, 27)
(
−
2
,
27
)
-
(
1
1
2
,
4
1
4
)
(1\frac{1}{2}, 4\frac{1}{4})
(
1
2
1
,
4
4
1
)
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