In Exercises 141-144, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. If f ( x ) = x 3 and g ( x ) = − ( x − 3 ) 3 − 4 , then the graph of g can be obtained from the graph of f by moving f three units to the right, reflecting about the x -axis, and then moving the resulting graph down four units.
In Exercises 141-144, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. If f ( x ) = x 3 and g ( x ) = − ( x − 3 ) 3 − 4 , then the graph of g can be obtained from the graph of f by moving f three units to the right, reflecting about the x -axis, and then moving the resulting graph down four units.
Solution Summary: The author analyzes whether the statement, "If f(x)=x
In Exercises 141-144, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement.
If
f
(
x
)
=
x
3
and
g
(
x
)
=
−
(
x
−
3
)
3
−
4
, then the graph of g can be obtained from the graph of f by moving f three units to the right, reflecting about the x -axis, and then moving the resulting graph down four units.
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