5.1 Quadratic PF & Transformations
Flashcard
•
Mathematics
•
9th - 11th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the standard form of a quadratic function?
Back
The standard form of a quadratic function is y = ax² + bx + c, where a, b, and c are constants.
2.
FLASHCARD QUESTION
Front
What does the vertex of a parabola represent?
Back
The vertex of a parabola represents the highest or lowest point of the graph, depending on whether it opens upwards or downwards.
3.
FLASHCARD QUESTION
Front
How do you find the axis of symmetry for a quadratic function?
Back
The axis of symmetry can be found using the formula x = -b/(2a) from the standard form y = ax² + bx + c.
4.
FLASHCARD QUESTION
Front
What is the effect of changing the value of 'a' in the quadratic function y = a(x-h)² + k?
Back
Changing the value of 'a' affects the width and direction of the parabola. If 'a' is positive, the parabola opens upwards; if negative, it opens downwards.
5.
FLASHCARD QUESTION
Front
What is the vertex form of a quadratic function?
Back
The vertex form of a quadratic function is y = a(x-h)² + k, where (h, k) is the vertex of the parabola.
6.
FLASHCARD QUESTION
Front
What does it mean if a parabola has a maximum value?
Back
A parabola has a maximum value if it opens downwards, indicating that the vertex is the highest point on the graph.
7.
FLASHCARD QUESTION
Front
What does it mean if a parabola has a minimum value?
Back
A parabola has a minimum value if it opens upwards, indicating that the vertex is the lowest point on the graph.
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