Quadratic Transformations
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the vertex form of a quadratic function?
Back
f(x) = a(x-h)² + k
2.
FLASHCARD QUESTION
Front
What does the 'a' in the vertex form f(x) = a(x-h)² + k represent?
Back
The 'a' value determines the direction and width of the parabola. If 'a' is positive, the parabola opens upwards; if negative, it opens downwards.
3.
FLASHCARD QUESTION
Front
How does changing 'h' in the vertex form f(x) = a(x-h)² + k affect the graph?
Back
Changing 'h' shifts the graph horizontally. If 'h' increases, the graph shifts to the right; if 'h' decreases, it shifts to the left.
4.
FLASHCARD QUESTION
Front
What effect does changing 'k' in the vertex form f(x) = a(x-h)² + k have on the graph?
Back
Changing 'k' shifts the graph vertically. If 'k' increases, the graph shifts up; if 'k' decreases, it shifts down.
5.
FLASHCARD QUESTION
Front
What transformation occurs when a quadratic function is reflected across the x-axis?
Back
The 'a' value in the vertex form becomes negative, causing the parabola to open downwards.
6.
FLASHCARD QUESTION
Front
Describe the transformation of y = f(x) to y = f(x) + c where c > 0.
Back
The graph of y = f(x) is shifted up by 'c' units.
7.
FLASHCARD QUESTION
Front
Describe the transformation of y = f(x) to y = f(x) - c where c > 0.
Back
The graph of y = f(x) is shifted down by 'c' units.
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