What is a quadratic function?
Unit 5 Quadratics Review

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Mathematics
•
9th 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 f(x) = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.
2.
FLASHCARD QUESTION
Front
What does it mean to translate a graph?
Back
Translating a graph means shifting it horizontally or vertically without changing its shape. For example, translating a graph 4.5 units to the left involves replacing x with (x + 4.5) in the function.
3.
FLASHCARD QUESTION
Front
What is the vertex of a quadratic function?
Back
The vertex of a quadratic function is the highest or lowest point on the graph, depending on the direction of the parabola. It can be found using the formula x = -b/(2a) for the function f(x) = ax^2 + bx + c.
4.
FLASHCARD QUESTION
Front
How do you reflect a graph over the x-axis?
Back
To reflect a graph over the x-axis, you multiply the entire function by -1. For example, if f(x) = x^2, the reflection would be g(x) = -x^2.
5.
FLASHCARD QUESTION
Front
What is the standard form of a quadratic equation?
Back
The standard form of a quadratic equation is f(x) = ax^2 + bx + c, where a, b, and c are constants.
6.
FLASHCARD QUESTION
Front
What is the axis of symmetry in a quadratic function?
Back
The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves. It can be found using the formula x = -b/(2a).
7.
FLASHCARD QUESTION
Front
What does it mean to stretch a graph horizontally?
Back
Stretching a graph horizontally means to make it wider or narrower. This is done by multiplying the x variable by a factor less than 1 (wider) or greater than 1 (narrower) in the function.
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