7. SAS 3 Transformations

Presentation

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Easy

•

CCSS

HSF-IF.C.7E, 6.NS.B.3

Standards-aligned

Colleen slatteryc@calvertnet.k12.md.us

Used 2+ times

FREE Resource

1 Slide • 10 Questions

Transformations of Logs (Page 3)

Labeling

Page 3 #1

What is the general form of the logarithmic function?

HINT: Look in packet from two weeks ago

Drag labels to their correct position on the image

Labeling

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

Drag labels to their correct position on the image

left/ right

yes

up/ down

stretch/ compress

Categorize

Options (6)

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.

First Function

Second Function

Both Functions

Neither Function

Categorize

Options (7)

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.

First Function

Second Function

Neither Function

Categorize

Options (3)

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.

Second Function

Both Function

Multiple Select

Page 4 #4

What are the domain and range of the function $y=3\cdot\log_2\left(x-1\right)-4$

Domain: All real numbers

Range: All real numbers

Domain: $x>1$

Range: $x>1$

Domain: $x>4$

Match

Page 4 #5

Use your knowledge of transformations of the parent function $y=\log_2x$ to graph the function

y = log₂(x + 2) – 4

Graph on Desmos to put on the paper. Then match below.

Asymptote:

-4

x=-2

Match

Page 4 #6

Use your knowledge of transformations of the parent function $y=\log_2x$ to graph the function

y = 3 log₂(x - 1) – 5

Graph on Desmos to put on the paper. Then match below.

Asymptote:

-1

-5

x=1

Match

Page 5 #7

Use your knowledge of transformations of the parent function $y=\log_{10}x$ to graph the function

y = $\frac{1}{2}\log_{10}\left(x\right)+4$

Graph on Desmos to put on the paper. Then match below.

Asymptote:

Domain

Range

$\frac{1}{2}$

x=0

x>0

All real numbers

Categorize

Options (10)

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.

Similarities

First Function: f(x)

Second Function: g(x)

Transformations of Logs (Page 3)

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