What is a quadratic function?
IM2 Fall 2024 Semester Exam

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•
Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
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 is the standard form of a quadratic function?
Back
The standard 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 does the vertex of a parabola represent?
Back
The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards.
4.
FLASHCARD QUESTION
Front
How do you determine if a function is linear, exponential, or quadratic?
Back
A linear function has a constant rate of change, an exponential function grows or decays at a constant percentage rate, and a quadratic function has a variable rate of change that forms a parabola.
5.
FLASHCARD QUESTION
Front
What is the general shape of a quadratic function's graph?
Back
The graph of a quadratic function is a parabola, which can open upwards or downwards.
6.
FLASHCARD QUESTION
Front
What is the significance of the 'a' value in a quadratic function?
Back
The 'a' value determines the direction of the parabola (upward if a > 0, downward if a < 0) and affects the width of the parabola.
7.
FLASHCARD QUESTION
Front
What is an exponential function?
Back
An exponential function is a mathematical function of the form y = ab^x, where a is a constant, b is the base, and x is the exponent.
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