Transformations of Parent Functions

Flashcard
•
Mathematics
•
9th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a parent function?
Back
A parent function is the simplest form of a function in a family of functions, which can be transformed to create other functions in that family.
2.
FLASHCARD QUESTION
Front
What does it mean to translate a function?
Back
Translating a function means shifting its graph horizontally, vertically, or both without changing its shape.
3.
FLASHCARD QUESTION
Front
How do you translate a function up by 'k' units?
Back
To translate a function up by 'k' units, you add 'k' to the function: f(x) becomes f(x) + k.
4.
FLASHCARD QUESTION
Front
How do you translate a function down by 'k' units?
Back
To translate a function down by 'k' units, you subtract 'k' from the function: f(x) becomes f(x) - k.
5.
FLASHCARD QUESTION
Front
How do you translate a function left by 'h' units?
Back
To translate a function left by 'h' units, you replace 'x' with 'x + h': f(x) becomes f(x + h).
Tags
CCSS.HSF.BF.B.3
6.
FLASHCARD QUESTION
Front
How do you translate a function right by 'h' units?
Back
To translate a function right by 'h' units, you replace 'x' with 'x - h': f(x) becomes f(x - h).
7.
FLASHCARD QUESTION
Front
What is the effect of a negative sign in front of a function?
Back
A negative sign in front of a function reflects the graph across the x-axis.
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