Transformations of Functions and Graphs
Algebra · Flashcards · Recall
ALGEBRA · FLASHCARDS
Card 1
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QUESTION
What is the effect of
g
(
x
)
=
f
(
1
⋅
x
)
g(x)=f(1\cdot x)
g
(
x
)
=
f
(
1
⋅
x
)
on the graph of
f
f
f
?
QUESTION
What is the graph effect of replacing
f
(
x
)
f(x)
f
(
x
)
with
k
f
(
x
)
k f(x)
k
f
(
x
)
for
k
>
1
k>1
k
>
1
?
QUESTION
What is the graph effect of replacing
f
(
x
)
f(x)
f
(
x
)
with
f
(
x
)
+
k
f(x)+k
f
(
x
)
+
k
for
k
>
0
k>0
k
>
0
?
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ANSWER
Shift the graph up
k
k
k
units. Adding
k
k
k
to the function output translates all points vertically upward.
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