Quadratic Transformations

Flashcard
•
Mathematics
•
8th Grade - University
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the vertex of the equation y = (x + 4)² - 6?
Back
(-4, -6)
2.
FLASHCARD QUESTION
Front
Describe the transformation of f(x) = (x + 7)² compared to the parent function.
Back
horizontal shift left 7 units
3.
FLASHCARD QUESTION
Front
What steps transform the graph y = x² to y = (x - 4)²?
Back
Shifted right 4 units
4.
FLASHCARD QUESTION
Front
What is the vertex form of a quadratic function?
Back
f(x) = a(x - h)² + k
5.
FLASHCARD QUESTION
Front
Which equation matches the transformation: up 4, stretched 3, reflected down, and left 1?
Back
f(x) = -3(x + 1)² + 4
6.
FLASHCARD QUESTION
Front
What does the 'a' in the vertex form f(x) = a(x - h)² + k represent?
Back
The vertical stretch or compression factor and the direction of the parabola (upward if a > 0, downward if a < 0).
7.
FLASHCARD QUESTION
Front
What is the effect of a positive 'k' in the vertex form of a quadratic function?
Back
It shifts the graph vertically upwards by 'k' units.
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