
(Lesson) Transformation of Functions
Presentation
•
Mathematics
•
9th - 12th Grade
•
Medium
Standards-aligned
LERONN BURRIS
Used 94+ times
FREE Resource
5 Slides • 9 Questions
1
Reflections and Dilations
Add these to your notes.
2
Reflection
When there is a negative sign in front of the equation, this means the function is being reflected over the x-axis!
3
Multiple Select
Describe the transformation from the parent cubic function:
y=−x3+3
* Select TWO answers *
Shift up 3 units
Shift down 3 units
Reflection over the y-axis
Reflection over the x-axis
4
Vertical Stretch and Vertical Shrink
Makes the graph more narrow or more wide
a > 1 = Vertical Stretch
0 < a < 1 = Vertical Shrink
5
Multiple Choice
Describe the transformation from the parent absolute value function:
y=8∣x∣
Vertical stretch by a factor of 8
Vertical shrink by a factor of 8
6
Multiple Choice
Describe the transformation from the parent quadratic function:
y=41x2
Vertical stretch by a factor of ¼
Vertical shrink by a factor of ¼
7
Vertical Translation
This allows our function to move UP or DOWN
** These are outside of the parentheses **
+ k shifts up
– k shifts down
8
Multiple Choice
Describe the transformation from the parent absolute value function:
y=∣x∣−5
Shift up 5 units
Shift down 5 units
Shift right 5 units
Shift left 5 units
9
Horizontal Translation
This allows our function to move LEFT or RIGHT
** These are inside the parentheses **
(x – h) shifts right
(x + h) shifts left
10
Multiple Choice
Describe the transformation from the parent quadratic function:
y=(x−2)2
Shift up 2 units
Shift down 2 units
Shift right 2 units
Shift left 2 units
11
Multiple Choice
Describe the transformation from the parent square root function:
y=x+4
Shift up 4 units
Shift down 4 units
Shift right 4 units
Shift left 4 units
12
Multiple Select
Describe the transformation from the parent square root function:
y=2 x−5
* Select TWO answers *
Vertical stretch
Vertical shrink
Translation 5 units right
Translation 5 units left
13
Multiple Select
Describe the transformation from the parent absolute value function:
y=−∣x+4∣−3
* Select THREE answers *
Reflection over the x-axis
Translation 4 units left
Translation 4 units up
Translation 3 units left
Translation 3 units down
14
Multiple Select
Describe the transformation from the parent cubic function:
y=(x+6)3−4
* Select TWO answers *
Translation 6 units right
Translation 6 units left
Translation 4 units up
Translation 4 units down
Reflections and Dilations
Add these to your notes.
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