Quadratic Transformations
Flashcard
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
Standards-aligned
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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 written in the form f(x) = ax² + bx + c, where a, b, and c are constants and a ≠ 0.
2.
FLASHCARD QUESTION
Front
What does the 'a' value in a quadratic function affect?
Back
The 'a' value affects the direction of the parabola (upward if a > 0, downward if a < 0) and the width of the parabola (narrower if |a| > 1, wider if |a| < 1).
3.
FLASHCARD QUESTION
Front
What is the vertex form of a quadratic function?
Back
The vertex form of a quadratic function is f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola.
4.
FLASHCARD QUESTION
Front
How does changing 'h' in the vertex form affect the graph?
Back
Changing 'h' shifts the graph left or right. If h is positive, the graph shifts right; if h is negative, it shifts left.
5.
FLASHCARD QUESTION
Front
How does changing 'k' in the vertex form affect the graph?
Back
Changing 'k' shifts the graph up or down. If k is positive, the graph shifts up; if k is negative, it shifts down.
6.
FLASHCARD QUESTION
Front
What does it mean to reflect a quadratic function over the x-axis?
Back
Reflecting a quadratic function over the x-axis means multiplying the function by -1, which flips the graph upside down.
7.
FLASHCARD QUESTION
Front
What is the effect of compressing a quadratic function vertically?
Back
Compressing a quadratic function vertically makes the parabola wider. This occurs when the absolute value of 'a' is between 0 and 1.
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