Multiple Transformations of Functions
Presentation
•
Mathematics
•
7th - 12th Grade
•
Medium
Standards-aligned
Craig Frame
Used 29+ times
FREE Resource
3 Slides • 7 Questions
1
What happens to the parent function when multiple transformations take place?
2
3
Poll
Which transformation(s) are you feeling confident with going into this lesson?
Horizontal translations
Vertical translations
Reflections
Vertical stretching/shrinking
Horizontal stretching/shrinking
4
Fill in the Blanks
Given the parent function: f(x)=3x−4 , the following transformations took place in this order.
Reflection over y-axis
Translation 4 units right
Vertical stretch by a factor of 2
Translation 2 units down
Reflection over x-axis
Find the resulting function g(x) =
Type answer...
Insert the linear expression in standard form that fills in the blank. (no space between any characters Ex: 5x+11 ).
5
Fill in the Blanks
Extra Practice 1:
Parent function: f(x)=23x+4
Transformations: shift right 6; horizontal shrink by a factor of 41 ; reflect over y-axis
g(x) =
Type answer...
Insert the linear expression in standard form that fills in the blank. (no space between any characters Ex: 5x+11 ).
6
Fill in the Blanks
Extra Practice 2:
Parent function: f(x)=15x−9 Transformations: vertical shrink by a factor of 32 ; shift down 5; reflect over x-axis
Insert the linear expression in standard form that fills in the blank. (no space between any characters Ex: 5x+11 ).
Type answer...
7
8
Multiple Select
Whose list of transformations is accurate? Mark all that apply.
Lexi
Aditya
Cliff
Jamie
None of them
9
Open Ended
Create your own transformation list that will transform the parent function:
h(x)=2x−8 , into j(x)=−x+710
Open Ended
Reflection: What is something new you learned today about transformations of functions?
What happens to the parent function when multiple transformations take place?
Show answer
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