Translating Absolute Value Equations

Flashcard
•
Mathematics
•
KG - University
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the general form of an absolute value equation?
Back
The general form of an absolute value equation is y = a|x - h| + k, where (h, k) is the vertex of the graph.
2.
FLASHCARD QUESTION
Front
How does the value of 'a' affect the graph of an absolute value equation?
Back
The value of 'a' affects the vertical stretch or compression of the graph. If |a| > 1, the graph is stretched; if 0 < |a| < 1, the graph is compressed.
3.
FLASHCARD QUESTION
Front
What does the expression |x - h| represent in an absolute value equation?
Back
The expression |x - h| represents the horizontal shift of the graph. If h is positive, the graph shifts to the right; if h is negative, it shifts to the left.
4.
FLASHCARD QUESTION
Front
What is the effect of adding a constant 'k' to the absolute value equation?
Back
Adding a constant 'k' shifts the graph vertically. If k is positive, the graph shifts up; if k is negative, it shifts down.
5.
FLASHCARD QUESTION
Front
What are the coordinates of the vertex in the equation y = a|x - h| + k?
Back
The coordinates of the vertex are (h, k).
6.
FLASHCARD QUESTION
Front
How do you determine the vertex from the equation y = |x + 3| - 5?
Back
The vertex can be determined by identifying h and k. Here, h = -3 and k = -5, so the vertex is (-3, -5).
7.
FLASHCARD QUESTION
Front
What does the graph of y = |x| look like?
Back
The graph of y = |x| is a V-shaped graph that opens upwards with its vertex at the origin (0, 0).
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