Transformations of Absolute Value Functions
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the general form of an absolute value function?
Back
f(x) = a| x - h | + k, where (h, k) is the vertex and 'a' determines the direction and width.
2.
FLASHCARD QUESTION
Front
What does the 'a' value in the absolute value function affect?
Back
'a' affects the vertical stretch/compression and direction of the graph. If 'a' is negative, the graph opens downwards.
3.
FLASHCARD QUESTION
Front
How do you identify the vertex of the function f(x) = a| x - h | + k?
Back
The vertex is the point (h, k) on the graph.
4.
FLASHCARD QUESTION
Front
What is the effect of adding a constant outside the absolute value, like in f(x) = |x| + k?
Back
It translates the graph vertically. If k > 0, it moves up; if k < 0, it moves down.
5.
FLASHCARD QUESTION
Front
What is the effect of adding a constant inside the absolute value, like in f(x) = |x + h|?
Back
It translates the graph horizontally. If h > 0, it moves left; if h < 0, it moves right.
6.
FLASHCARD QUESTION
Front
What does the equation y = -|x| represent?
Back
It represents a reflection of the basic absolute value function across the x-axis.
7.
FLASHCARD QUESTION
Front
How do you determine the horizontal translation of the function f(x) = |x + 4| - 9?
Back
The graph shifts left by 4 units due to the '+4' inside the absolute value.
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