
7. SAS 3 Transformations
Presentation
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Easy
Standards-aligned
Ms. Slattery Jones
Used 2+ times
FREE Resource
1 Slide • 10 Questions
1
Transformations of Logs (Page 3)
2
Labelling
Page 3 #1
What is the general form of the logarithmic function?
HINT: Look in packet from two weeks ago
k
a
3
Labelling
Page 3 #2
How do changes in the parameters of the general function affect the graph of the function?
HINT: Look in packet from two weeks ago
up/ down
no
stretch/ compress
yes
left/ right
4
Categorize
Up 2
Down 2
Asymptote: x=0
Right 2
Left 2
Asymptote: x=2
Page 3 #3 First Box
Go to Desmos.
Type the first function in box 1.
Type the second function in box 2.
Graph on your paper.
5
Categorize
Left 2
Right 2
Down 2
Up 2
Asymptote: x=-2
Asymptote: x=2
Asymptote: x=0
Page 3 #3 Second Box
Go to Desmos.
Type the first function in box 1.
Type the second function in box 2.
Graph on your paper.
6
Categorize
Reflect across the x-axis
Stretch 2
Asymptote: x=0
Page 3 #3 Third Box
Go to Desmos.
Type the first function in box 1.
Type the second function in box 2.
Graph on your paper.
7
Multiple Select
Page 4 #4
What are the domain and range of the function y=3⋅log2(x−1)−4
Domain: All real numbers
Range: All real numbers
Domain: x>1
Range: x>1
Domain: x>4
8
Match
Page 4 #5
Use your knowledge of transformations of the parent function y=log2x to graph the function
y = log2(x + 2) – 4
Graph on Desmos to put on the paper. Then match below.
a=
h=
k=
Asymptote:
1
2
-4
x=-2
1
2
-4
x=-2
9
Match
Page 4 #6
Use your knowledge of transformations of the parent function y=log2x to graph the function
y = 3 log2(x - 1) – 5
Graph on Desmos to put on the paper. Then match below.
a=
h=
k=
Asymptote:
3
-1
-5
x=1
3
-1
-5
x=1
10
Match
Page 5 #7
Use your knowledge of transformations of the parent function y=log10x to graph the function
y = 21log10(x)+4
Graph on Desmos to put on the paper. Then match below.
a=
k=
Asymptote:
Domain
Range
4
x=0
x>0
All real numbers
21
4
x=0
x>0
All real numbers
11
Categorize
Same base of 10
Range: all real numbers
No transformations
Stretch 3
Reflect across x-axis
Right 5
Asymptote: x=0
Asymptote: x=5
Domain: x>0
Domain: x>5
Explain similarities and differences the graphs of f(x) = log10(x) and g(x) = -3log10(x - 5) using words like domain, range, asymptote, and transformation.
Transformations of Logs (Page 3)
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