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2.4 Parent Function Transformations 2
Presentation
•
Mathematics
•
12th Grade
•
Medium
Standards-aligned
Rachel Pankratz
Used 7+ times
FREE Resource
4 Slides • 8 Questions
1
Part 2: NON-Rigid Transformations
Some text here about the topic of discussion
2
Change the shape of a function by changing its size, i.e. thinner, fatter, shorter, longer.
Dilations are non-rigid transformations.
Compress (shorter/fatter) and stretch (thinner, longer)
3
a⋅f(x)
if a> 1 Stretches by a factor of a.
if a<1 Compresses by a factor of a.
on all Functions
4
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
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
Fill in the Blanks
Write the equation for an absolute value function stretched by a factor of 4 vertically.
Type answer...
7
Multiple Choice
What steps transform the graph y=x2 to y=−21(x−4)2+1 ?
Compressed by 1/2, shifted 4 units right and 1 unit up
Reflected across x-axis, compressed by 1/2, shifted 4 units right and 1 unit up
Reflected across x-axis, stretched by 1/2, shifted 4 units left and 1 unit up
Stretched by 1/2, shifted 4 units right and 1 unit down
8
f(a⋅x)
if a> 1 Stretches
if a<1 Compresses
on all Functions
9
Fill in the Blanks
Write the equation of a absolute value function horizontally compressed by 0.5.
Type answer...
10
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
11
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
12
Audio Response
Describe the transformations on the function from f(x)=x to f(x)=233x−1 . Write out the discription before recording it.
Part 2: NON-Rigid Transformations
Some text here about the topic of discussion
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