Transformations of Quadratic Functions2024
Flashcard
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
Standards-aligned
Wayground Content
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15 questions
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1.
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.
2.
FLASHCARD QUESTION
Front
What does the 'a' value in the quadratic function f(x) = a(x - h)² + k determine?
Back
The 'a' value determines the direction of the parabola (upward if a > 0, downward if a < 0) and its width (narrower if |a| > 1, wider if |a| < 1).
3.
FLASHCARD QUESTION
Front
How does a vertical shift affect the graph of a quadratic function?
Back
A vertical shift moves the graph up or down. For example, f(x) = x² + 5 shifts the graph of y = x² up by 5 units.
4.
FLASHCARD QUESTION
Front
What is the effect of a horizontal shift on the graph of a quadratic function?
Back
A horizontal shift moves the graph left or right. For example, f(x) = (x - 3)² shifts the graph of y = x² to the right by 3 units.
5.
FLASHCARD QUESTION
Front
What does it mean for a quadratic function to be reflected over the x-axis?
Back
A reflection over the x-axis means that the function's output values are negated. For example, f(x) = -x² is a reflection of f(x) = x².
6.
FLASHCARD QUESTION
Front
What is the parent function of a quadratic equation?
Back
The parent function of a quadratic equation is f(x) = x², which is the simplest form of a quadratic function.
7.
FLASHCARD QUESTION
Front
How do you identify the axis of symmetry in a quadratic function?
Back
The axis of symmetry can be found using the formula x = h, where (h, k) is the vertex in the vertex form f(x) = a(x - h)² + k.
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