Transformation of functions
Flashcard
•
Mathematics
•
11th - 12th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a transformation of a function?
Back
A transformation of a function refers to the changes made to the graph of the function, including shifts, stretches, compressions, and reflections.
2.
FLASHCARD QUESTION
Front
What does a right shift of a function mean?
Back
A right shift of a function means that the graph of the function moves to the right along the x-axis by a certain number of units.
3.
FLASHCARD QUESTION
Front
What does an upward shift of a function mean?
Back
An upward shift of a function means that the graph of the function moves up along the y-axis by a certain number of units.
4.
FLASHCARD QUESTION
Front
What is the general form of a quadratic function?
Back
The general form of a quadratic function is f(x) = ax^2 + bx + c, where a, b, and c are constants.
5.
FLASHCARD QUESTION
Front
How does the value of 'a' affect the graph of a quadratic function?
Back
The value of 'a' determines the direction of the parabola (upward if a > 0, downward if a < 0) and affects the width of the parabola.
6.
FLASHCARD QUESTION
Front
What is the vertex of a quadratic function?
Back
The vertex of a quadratic function is the highest or lowest point on the graph, depending on the direction of the parabola.
7.
FLASHCARD QUESTION
Front
What is the axis of symmetry in a quadratic function?
Back
The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by the equation x = -b/(2a).
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