Quadratic Transformations
Flashcard
•
Mathematics
•
9th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the parent function of a quadratic equation?
Back
The parent function of a quadratic equation is f(x) = x².
2.
FLASHCARD QUESTION
Front
What does the 'a' value in the vertex form f(x) = a(x - h)² + k represent?
Back
The 'a' value represents the vertical stretch or compression and the direction of the parabola (upward if a > 0, downward if a < 0).
3.
FLASHCARD QUESTION
Front
How does a positive 'k' value affect the graph of a quadratic function?
Back
A positive 'k' value shifts the graph vertically upwards.
4.
FLASHCARD QUESTION
Front
How does a negative 'k' value affect the graph of a quadratic function?
Back
A negative 'k' value shifts the graph vertically downwards.
5.
FLASHCARD QUESTION
Front
What transformation occurs when the equation is changed from f(x) = x² to f(x) = (x + 3)²?
Back
The graph shifts horizontally left by 3 units.
6.
FLASHCARD QUESTION
Front
What transformation occurs when the equation is changed from f(x) = x² to f(x) = (x - 5)²?
Back
The graph shifts horizontally right by 5 units.
7.
FLASHCARD QUESTION
Front
What does it mean to vertically stretch a quadratic function?
Back
Vertically stretching a quadratic function makes it steeper, which occurs when the absolute value of 'a' is greater than 1.
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