What is the effect of adding a constant to a function, such as in g(x) = f(x) + 4?
Linear & Quad Transformations (a & d)

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Mathematics
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9th Grade
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Hard
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1.
FLASHCARD QUESTION
Front
Back
The graph of the function shifts vertically. In this case, it shifts 4 units up.
2.
FLASHCARD QUESTION
Front
What happens to the graph of a quadratic function when the leading coefficient is greater than 1, such as in y = 2x^2?
Back
The parabola becomes stretched, making it skinnier.
3.
FLASHCARD QUESTION
Front
What is the effect of subtracting a constant from a function, such as in g(x) = f(x) - 4?
Back
The graph of the function shifts vertically. In this case, it shifts 4 units down.
4.
FLASHCARD QUESTION
Front
What does the equation g(x) = 6f(x) indicate about the transformation of the parent function?
Back
The graph is stretched vertically by a factor of 6.
5.
FLASHCARD QUESTION
Front
How does the equation f(x) = -x^2 transform the parent function f(x) = x^2?
Back
It reflects the graph over the x-axis.
6.
FLASHCARD QUESTION
Front
What is a vertical stretch in the context of quadratic functions?
Back
A vertical stretch occurs when the leading coefficient of the quadratic function is greater than 1.
7.
FLASHCARD QUESTION
Front
What is a vertical compression in the context of quadratic functions?
Back
A vertical compression occurs when the leading coefficient of the quadratic function is between 0 and 1.
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