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Example Questions
Example Question #61 : Graphs
The graph of a function is reflected about the
-axis, then translated upward
units. Which of the following is represented by the resulting graph?
Reflecting the graph of a function about the
-axis results in the graph of the function
.
Translating this graph upward results in the graph of the function
.
Example Question #62 : Graphs
Translate the graph of upward three units to yield the graph of a function
. Which of the following is a valid way of stating the definition of
?
A vertical translation of the graph of a function by
units yields the graph of the function
. A translation in an upward direction is a positive translation, so setting
and
, the resulting graph becomes
or
Apply properties of logarithms to rewrite this as
.
Example Question #63 : Graphs
Reflect the graph of about the
-axis to yield the graph of a function
. Which of the following is a valid way of stating the definition of
?
None of the other choices gives the correct response.
The reflection of the graph of a function about the
-axis yields the graph of the function
. Therefore, set
and substitute
for
to yield the function
.
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