Quadratic Transformations

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•
Mathematics
•
9th Grade
•
Hard
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14 questions
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1.
FLASHCARD QUESTION
Front
What does the 'a' value do in the vertex form f(x) = a(x - h)² + k?
Back
The 'a' value determines the vertical stretch or compression of the parabola.
2.
FLASHCARD QUESTION
Front
How does changing the 'a' value affect the graph of f(x) = a(x - h)² + k?
Back
Changing 'a' affects the steepness of the graph; if |a| > 1, the graph is vertically stretched (narrower), and if 0 < |a| < 1, it is vertically compressed (wider).
3.
FLASHCARD QUESTION
Front
What transformation occurs in the function f(x) = \frac{1}{4}x² compared to the parent function?
Back
This represents a vertical compression (wider) of the parent function.
4.
FLASHCARD QUESTION
Front
What does the 'h' value do in the vertex form f(x) = a(x - h)² + k?
Back
The 'h' value shifts the function left or right.
5.
FLASHCARD QUESTION
Front
What does the 'k' value do in the vertex form f(x) = a(x - h)² + k?
Back
The 'k' value shifts the function up or down.
6.
FLASHCARD QUESTION
Front
What is the effect of a negative 'a' value in the vertex form f(x) = a(x - h)² + k?
Back
A negative 'a' value reflects the graph over the x-axis.
7.
FLASHCARD QUESTION
Front
If f(x) = 2(x - 3)² + 1, what transformations are applied to the parent function?
Back
The graph is vertically stretched by a factor of 2, shifted right 3 units, and shifted up 1 unit.
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