Quadratic Transformations

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•
Mathematics
•
8th - 10th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What happens to the graph of f(x) = ax² when 0 < a < 1?
Back
The graph becomes wider or vertically compressed.
2.
FLASHCARD QUESTION
Front
How does the function f(x) = \frac{1}{4}x² transform from the parent function?
Back
Vertical compression (wider).
3.
FLASHCARD QUESTION
Front
What is the vertex of the equation y = (x + 4)² - 6?
Back
(-4, -6).
4.
FLASHCARD QUESTION
Front
If f(x) is transformed to g(x), which equation represents g(x) if it shifts right by 3 units?
Back
g(x) = f(x - 3).
5.
FLASHCARD QUESTION
Front
Which equation represents the transformation: up 4, stretched 3, reflected down, and left 1?
Back
f(x) = -3(x + 1)² + 4.
6.
FLASHCARD QUESTION
Front
What is the vertex form of a quadratic function?
Back
The vertex form is f(x) = a(x - h)² + k, where (h, k) is the vertex.
7.
FLASHCARD QUESTION
Front
What does a negative 'a' value in f(x) = ax² indicate about the graph?
Back
The graph opens downward.
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