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Standard XII
Mathematics
f(x) Transforms to f(x+a) or f(x-a)
The graph of ...
Question
The graph of
y
=
(
x
−
1
)
2
+
2
is
A
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B
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C
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D
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Solution
The correct option is
C
y
=
(
x
−
1
)
2
+
2
can be plotted by using horizontal shifting first and then using vertical shifting or vice-versa.
Here, we will plot the graph of
y
=
(
x
−
1
)
2
+
2
by using horizontal shifting first and then using vertical shifting.
Graph of
y
=
x
2
is plotted as
Now,
y
=
(
x
−
1
)
2
is plotted by shifting the graph of
y
=
x
2
through
1
unit towards the right along the
x
-axis.
Finally,
y
=
(
x
−
1
)
2
+
2
is plotted by shifting the graph of
y
=
(
x
−
1
)
2
through
2
units upward along the
y
-axis.
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f(x) Transforms to f(x+a) or f(x-a)
Standard XII Mathematics
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