
Module 5: Relationships Among Linear Functions - Review
Presentation
•
Mathematics
•
9th Grade
•
Medium
+6
Standards-aligned
ATLANTA STANTON
Used 2+ times
FREE Resource
6 Slides • 17 Questions
1
Module 5: Relationships Among Linear Functions
5.2 - Transform Linear Functions
Open the links on the next 2 slides to prepare for the review! The links will open:
Class Notes Folder
Module 1 Review Matrix - Document
Your goal: create a notecard to use on the assessment tomorrow
5.4 - Inverses of Linear Functions
5.1 - Transform Graphs of Functions
5.3 - Compare Linear Functions
2

Class Notes Algebra 1B 24-25 T2 - Google Drive
You can open this webpage in a new tab.
3
4
Domain, Input, x's
Range
Output
y's
5.1 and 5.2 - Transform
Linear Functions
5
Multiple Choice
What is the parent linear functions?
y = 2x
y = mx + b
f(x) = x
Not here
6
Multiple Choice
The linear parent function, f(x) = x, is transformed to g(x) = -6f(x). Describe the transformation.
g(x) is reflected over the x-axis and stretched vertically by a factor of 6
g(x) is shifted down 6 units
g(x) is shifted left 6 units
g(x) is reflected over the x-axis and stretched horizontally by a factor of 6
7
Multiple Choice
8
Multiple Choice
Which represents the parent function shifted down two units?
f(x) = -2x
f(x) = x - 2
f(x) = x + 2
f(x) = 2x
9
Multiple Choice
The linear parent function, f(x) = x, is transformed to g(x) = f(x) - 6. Describe the transformation.
g(x) is shifted up 6 units
g(x) is shifted down 6 units
g(x) is shifted left 6 units
g(x) is shifted right 6 units
10
Multiple Choice
The linear parent function, f(x) = x, is transformed to g(x) = f(x) + 3. Describe the transformation.
g(x) is shifted up 3 units
g(x) is shifted down 3 units
g(x) is shifted left 3 units
g(x) is shifted right 3 units
11
Features of Linear Functions:
y-intercept (b)
slope (m)
zero of a function (x-intercept)
5.3 -
Compare Linear Functions
12
Multiple Choice
Write a linear equation in the form of y=mx+b
y = 2x + 2
y = 2x - 2
y = x + 2
y = 3x - 2
13
Multiple Choice
Write a linear equation in the form of y=mx+b
y = 3x - 3
y = -3x + 3
y = -3x - 3
y = 3x + 3
14
Multiple Choice
What is the equation of the linear function?
y= x -12
y= x + 12
y= -x + 12
y= -x - 12
15
Open Ended
Equation A: y = 2x + 3
Equation B: y = 3x - 3
Which equation has a higher slope?
16
Open Ended
Equation A: y = 3x - 1
Equation B: y = 1/2x + 1
Which equation has a higher y-intercept?
17
Open Ended
Compare the rates of change. Do they have the same rate of change? If they have different rates of change, which one is greater?
18
Open Ended
The cost of Nate’s service is described by y = 4x + 6. The table shows the cost of Beth’s service. Find the equation for Beth's service. Which service is cheaper for 8 movies in one month?
19
The inverse of a function is a function that has had it's domain and range switched.
5.4 -
Inverses of Linear Functions
20
Reorder
Given the function f(x)= 2x-5, put the work in the correct order to find the inverse function.
y=2x−5
y+5=2x
2y+5=x
2x+5=y
f−1(x)=2x+5
21
Multiple Choice
Find the inverse of f(x)=3x+2
f−1(x)=3x−2
f−1(x)=2x−3
f−1(x)=23x
f−1(x)=32+x
22
Multiple Choice
Find the inverse of f(x)=10+7x
f−1(x)=10x−7
f−1(x)=7x−10
f−1(x)=10+7x1
23
Multiple Choice
f(x) = 2x + 4 ?
Module 5: Relationships Among Linear Functions
5.2 - Transform Linear Functions
Open the links on the next 2 slides to prepare for the review! The links will open:
Class Notes Folder
Module 1 Review Matrix - Document
Your goal: create a notecard to use on the assessment tomorrow
5.4 - Inverses of Linear Functions
5.1 - Transform Graphs of Functions
5.3 - Compare Linear Functions
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