dentify the cno 1. Which of the following functions results if fx)=log,* is vertically stretched by a factor of 4, horizontall stretched by a factor of 3, reflected in the y-axis, horizontally translated 5 units to the right and vertically translated 2 units up? a. f(x)=-4 log10 (x-5)+2 c. f(x)=4 log1,[-3(x -5)]+2 A)=-4bg,-5) +2 b. f(x)=4 log10 (x-5)+2 d. f(x)=-4 log1o

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Exponential And Logarithmic Functions
Section11.4: Logarithmic Functions
Problem 69PS
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Question
Identify the choice that besl
1. Which of the following functions results if f(x)=log,x is vertically stretched by a factor of 4, horizontally
stretched by a factor of 3, reflected in the y-axis, horizontally translated 5 units to the right and vertically
translated 2 units up?
a. f(x)=-4 log10
(x-5)+2
c. f(x)=4 log1,[-3(x-5)]+2
d. Ae)=-4 log,(x -5)
b. f(x)=4 log10
+2
+2
2. Which of the following statements is true?
The domain of a transformed logarithmic function is always {x e R}.
Vertical and horizontal translations must be performed before horizontal and vertical
stretches/compressions.
A transformed logarithmic function always has a horizontal asymptote.
d.
a.
b.
с.
The vertical asymptote changes when a horizontal translation is applied.
3. Solve log, 81 =4 for x.
a.
3.
20.25
d. 324
с.
b.
9.
Transcribed Image Text:Identify the choice that besl 1. Which of the following functions results if f(x)=log,x is vertically stretched by a factor of 4, horizontally stretched by a factor of 3, reflected in the y-axis, horizontally translated 5 units to the right and vertically translated 2 units up? a. f(x)=-4 log10 (x-5)+2 c. f(x)=4 log1,[-3(x-5)]+2 d. Ae)=-4 log,(x -5) b. f(x)=4 log10 +2 +2 2. Which of the following statements is true? The domain of a transformed logarithmic function is always {x e R}. Vertical and horizontal translations must be performed before horizontal and vertical stretches/compressions. A transformed logarithmic function always has a horizontal asymptote. d. a. b. с. The vertical asymptote changes when a horizontal translation is applied. 3. Solve log, 81 =4 for x. a. 3. 20.25 d. 324 с. b. 9.
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