
PHHSTransformations of Quadratic Functions
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a transformation in the context of quadratic functions?
Back
A transformation refers to the changes made to the graph of a function, such as shifts, reflections, stretches, or compressions.
2.
FLASHCARD QUESTION
Front
What does shifting a graph 4 units to the left mean?
Back
It means that every point on the graph of the function is moved 4 units in the negative x-direction.
3.
FLASHCARD QUESTION
Front
How does the function g(x) = (x + 4)² relate to f(x) = x²?
Back
g(x) is the result of shifting the graph of f(x) = x² 4 units to the left.
4.
FLASHCARD QUESTION
Front
What is the effect of a negative coefficient in front of a quadratic function?
Back
It reflects the graph across the x-axis.
5.
FLASHCARD QUESTION
Front
What does it mean for a quadratic function to be 'narrower'?
Back
A quadratic function is narrower when the absolute value of the leading coefficient is greater than 1.
6.
FLASHCARD QUESTION
Front
What is the vertex of a quadratic function?
Back
The vertex is the highest or lowest point on the graph of a quadratic function, depending on its orientation.
7.
FLASHCARD QUESTION
Front
How do you identify a vertical shift in a quadratic function?
Back
A vertical shift is indicated by a constant added or subtracted from the function, such as f(x) = x² + k.
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