Transformations Of Quadratics
Flashcard
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the parent function of a quadratic?
Back
The parent function of a quadratic is y = x².
2.
FLASHCARD QUESTION
Front
What transformation occurs when the graph of y = x² is reflected over the x-axis?
Back
The transformation results in the graph of y = -x².
3.
FLASHCARD QUESTION
Front
How does the graph of y = -3x² differ from the graph of y = x²?
Back
The graph of y = -3x² is a reflection over the x-axis and is narrower than the graph of y = x².
4.
FLASHCARD QUESTION
Front
What does a horizontal shift of 4 units to the left do to the graph of f(x) = x²?
Back
It transforms the graph to g(x) = (x + 4)².
5.
FLASHCARD QUESTION
Front
If the blue graph is f(x) = x², what is the equation of the red graph that represents a shift to the right by 3 units?
Back
The equation of the red graph is g(x) = (x - 3)².
6.
FLASHCARD QUESTION
Front
What effect does multiplying a quadratic function by a negative number have on its graph?
Back
It reflects the graph over the x-axis.
7.
FLASHCARD QUESTION
Front
What is the effect of a vertical stretch on the graph of a quadratic function?
Back
A vertical stretch makes the graph narrower.
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