Quadratic Transformations Mixed
Flashcard
•
Mathematics
•
9th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
In the vertex form f(x) = a(x - h)² + k, what does the 'a' value do?
Back
The 'a' value determines the vertical stretch or compression of the parabola. If |a| > 1, the parabola is narrower; if 0 < |a| < 1, it is wider.
2.
FLASHCARD QUESTION
Front
What effect does changing the 'h' value have in the vertex form f(x) = a(x - h)² + k?
Back
The 'h' value shifts the graph of the function left or right. If h is positive, the graph shifts to the right; if h is negative, it shifts to the left.
3.
FLASHCARD QUESTION
Front
What does the 'k' value represent in the vertex form f(x) = a(x - h)² + k?
Back
The 'k' value shifts the graph of the function up or down. If k is positive, the graph shifts up; if k is negative, it shifts down.
4.
FLASHCARD QUESTION
Front
Which function represents a translation of 2 units right and a vertical stretch by a factor of 5?
Back
f(x) = 5(x - 2)².
5.
FLASHCARD QUESTION
Front
How does a negative 'a' value affect the graph of a quadratic function?
Back
A negative 'a' value reflects the graph over the x-axis.
6.
FLASHCARD QUESTION
Front
What is the effect of a vertical stretch on a quadratic function?
Back
A vertical stretch makes the parabola narrower, while a vertical compression makes it wider.
7.
FLASHCARD QUESTION
Front
If f(x) = x², what is the rule for g(x) if g is a translation 7 units right and a reflection in the x-axis?
Back
g(x) = -(x - 7)².
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