Transformation of Functions

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the transformation of the function f(x) = x^3 when it is shifted down 4 units?
Back
f(x) = x^3 - 4
Tags
CCSS.HSF.BF.B.3
2.
FLASHCARD QUESTION
Front
How does the function f(x) = (x + 7)^2 transform compared to its parent function?
Back
It shifts horizontally left by 7 units.
3.
FLASHCARD QUESTION
Front
What is the equation for the transformation of y = |x| shifted left 3 units and up 2 units?
Back
y = |x + 3| + 2
4.
FLASHCARD QUESTION
Front
Match the equation y = (x - 2)^2 + 4 with its graph type.
Back
It represents a parabola that opens upwards with vertex at (2, 4).
Tags
CCSS.HSF-IF.C.7A
5.
FLASHCARD QUESTION
Front
Which equation represents a quadratic function translated up 5 units?
Back
y = x^2 + 5
6.
FLASHCARD QUESTION
Front
What is the effect of the transformation f(x) = -x^2?
Back
It reflects the parabola across the x-axis.
7.
FLASHCARD QUESTION
Front
What does the transformation f(x) = (x - 3)^2 do to the parent function f(x) = x^2?
Back
It shifts the graph horizontally right by 3 units.
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