Transformations of Quadratic Functions

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Mathematics
•
9th Grade
•
Hard
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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 written in the form y = ax² + bx + c, where a, b, and c are constants and a ≠ 0.
2.
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.
3.
FLASHCARD QUESTION
Front
What does the graph of a quadratic function look like?
Back
The graph of a quadratic function is a parabola, which can open upwards or downwards depending on the sign of 'a'.
Tags
CCSS.HSF-IF.C.7A
4.
FLASHCARD QUESTION
Front
What is the vertex of a parabola?
Back
The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards.
5.
FLASHCARD QUESTION
Front
How do you find the vertex of a quadratic function in standard form?
Back
The vertex (h, k) can be found using the formula h = -b/(2a) and k = f(h), where f(x) is the quadratic function.
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, given by the equation x = h, where h is the x-coordinate of the vertex.
7.
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.
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