Transforming quadratics

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the general form of a quadratic function?
Back
The general form of a quadratic function is f(x) = ax² + bx + c, where a, b, and c are constants and a ≠ 0.
2.
FLASHCARD QUESTION
Front
How does a translation of a function affect its graph?
Back
A translation shifts the graph of a function horizontally or vertically without changing its shape.
3.
FLASHCARD QUESTION
Front
What does a positive 'a' value in a quadratic function indicate about the graph's direction?
Back
A positive 'a' value indicates that the graph opens upwards.
Tags
CCSS.HSF-IF.C.7A
4.
FLASHCARD QUESTION
Front
What does a negative 'a' value in a quadratic function indicate about the graph's direction?
Back
A negative 'a' value indicates that the graph opens downwards.
Tags
CCSS.HSF-IF.C.7A
5.
FLASHCARD QUESTION
Front
How do you determine the vertex of a quadratic function in vertex form?
Back
In vertex form, f(x) = a(x - h)² + k, the vertex is the point (h, k).
6.
FLASHCARD QUESTION
Front
What effect does a vertical stretch have on the graph of a quadratic function?
Back
A vertical stretch by a factor of 'k' (where k > 1) makes the graph narrower.
7.
FLASHCARD QUESTION
Front
What is the effect of translating a quadratic function 3 units to the left?
Back
Translating a quadratic function 3 units to the left involves replacing x with (x + 3) in the function.
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