Quadratic Transformations_Period 2&4
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a vertical reflection in a quadratic function?
Back
A vertical reflection occurs when the graph of a function is flipped over the x-axis, typically represented by a negative coefficient in front of the quadratic term.
2.
FLASHCARD QUESTION
Front
What does a vertical stretch mean in the context of quadratic functions?
Back
A vertical stretch occurs when the graph of a quadratic function is pulled away from the x-axis, making it narrower. This is represented by a coefficient greater than 1 in front of the quadratic term.
3.
FLASHCARD QUESTION
Front
How does shifting a graph to the right affect its equation?
Back
Shifting a graph to the right by 'h' units involves replacing 'x' with '(x - h)' in the function's equation.
4.
FLASHCARD QUESTION
Front
What is the effect of adding a constant to a quadratic function?
Back
Adding a constant to a quadratic function shifts the graph vertically. For example, y = x^2 + k shifts the graph up by 'k' units if 'k' is positive and down if 'k' is negative.
5.
FLASHCARD QUESTION
Front
What does it mean for a quadratic function to be narrower than the parent function?
Back
A quadratic function is narrower than the parent function y = x^2 if it has a coefficient greater than 1 in front of the x^2 term, such as y = 5x^2.
6.
FLASHCARD QUESTION
Front
What transformation occurs when the equation of a quadratic function is g(x) = (x - 3)^2?
Back
The graph of the function is shifted to the right by 3 units compared to the parent function y = x^2.
7.
FLASHCARD QUESTION
Front
What is the parent function of a quadratic equation?
Back
The parent function of a quadratic equation is y = x^2, which is the simplest form of a quadratic function.
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