If Ix-hl then shift If Ix + hl then shift If Ixl + k then shift If Ixl - k then shift

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 4SE: How does the graph of the absolute value function compare to the graph of the quadratic function,...
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I'm sort of confused.

More generally, the form of the equation for an absolute value function is y = a|x – h|+k. Also:
o The vertex of the graph is (h, k).
It opens up if a > 0 and opens down if a < 0.
The graph y =
can be translated h units horizontally and k units vertically to get the graph of y = a
| x – h | + k.
The graph y = a x | is wider than the graph of y = | x | if | a|< 1 and narrower if a > 1.
!!
If Ix-hl then shift
If Ix + hl then shift
If Ixl + k then shift
If Ixl - k then shift
Transcribed Image Text:More generally, the form of the equation for an absolute value function is y = a|x – h|+k. Also: o The vertex of the graph is (h, k). It opens up if a > 0 and opens down if a < 0. The graph y = can be translated h units horizontally and k units vertically to get the graph of y = a | x – h | + k. The graph y = a x | is wider than the graph of y = | x | if | a|< 1 and narrower if a > 1. !! If Ix-hl then shift If Ix + hl then shift If Ixl + k then shift If Ixl - k then shift
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