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Flashcard
•
Mathematics
•
11th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a quadratic function?
Back
A quadratic function is a polynomial function of degree 2, typically in the form y = ax² + bx + c, where a, b, and c are constants.
2.
FLASHCARD QUESTION
Front
What does the vertex form of a quadratic function look like?
Back
The vertex form of a quadratic function is y = a(x - h)² + k, where (h, k) is the vertex of the parabola.
3.
FLASHCARD QUESTION
Front
What transformation does the equation y = (x - 3)² - 2 represent?
Back
The equation represents a translation of the graph 3 units to the right and 2 units down.
4.
FLASHCARD QUESTION
Front
How does changing the value of 'a' in y = a(x - h)² + k affect the graph?
Back
Changing 'a' affects the width and direction of the parabola. If |a| > 1, the parabola is narrower; if 0 < |a| < 1, it is wider. If a < 0, the parabola opens downwards.
5.
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.
6.
FLASHCARD QUESTION
Front
What does the term 'translation' mean in the context of graph transformations?
Back
Translation refers to shifting a graph horizontally or vertically without changing its shape.
7.
FLASHCARD QUESTION
Front
What is the effect of adding a constant to the function y = x²?
Back
Adding a constant shifts the graph vertically. For example, y = x² + 3 shifts the graph up by 3 units.
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