Logarithms And Logarithmic Functions Worksheet With Answers Page 15
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277-3 Logarithms and Logarithmic Functions
52. f (x) = −3 log
(4x + 3) + 2
53. f (x) = 15 log
(x + 1) − 9
14
12
SOLUTION:
SOLUTION:
The function represents a transformation of the
The function represents a transformation of the
graph of
.
graph of
.
a = 15: The graph expands vertically.
a = –3: The graph is reflected across the x-axis.
h = –1: The graph is translated 1 unit to the left.
h = –3: The graph is translated 3 units to the left.
k = –9: The graph is translated 9 units down.
k = 2: The graph is translated 2 units up.
ANSWER:
ANSWER:
54. f (x) = 10 log
(x − 4) − 5
53. f (x) = 15 log
(x + 1) − 9
5
14
SOLUTION:
SOLUTION:
The function represents a transformation of the
The function represents a transformation of the
graph of
.
graph of
.
a = 10: The graph expands vertically.
a = 15: The graph expands vertically.
h = 4: The graph is translated 4 units to the right.
h = –1: The graph is translated 1 unit to the left.
k = –5: The graph is translated 5 units down.
k = –9: The graph is translated 9 units down.
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