Transformations of Parent Functions
Flashcard
•
Mathematics
•
11th Grade
•
Practice Problem
•
Hard
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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 retains the essential characteristics of that family.
2.
FLASHCARD QUESTION
Front
What is the equation of the square root parent function?
Back
f(x) = √x
3.
FLASHCARD QUESTION
Front
What transformation occurs when a function is translated up 5 units?
Back
The function's output increases by 5 for every input, resulting in a vertical shift upwards.
4.
FLASHCARD QUESTION
Front
How does the graph of y = -|x| differ from y = |x|?
Back
The graph of y = -|x| is a reflection of y = |x| over the x-axis.
5.
FLASHCARD QUESTION
Front
What is the general form of a quadratic function?
Back
A quadratic function is generally expressed as f(x) = ax² + bx + c, where a, b, and c are constants.
6.
FLASHCARD QUESTION
Front
What does it mean to reflect a function over the y-axis?
Back
Reflecting a function over the y-axis means that for every point (x, y) on the graph, there is a corresponding point (-x, y).
7.
FLASHCARD QUESTION
Front
What is the effect of a negative coefficient in front of a quadratic function?
Back
A negative coefficient in front of a quadratic function causes the graph to open downwards.
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