IB DP Maths: AA HL復習筆記2.9.2 Modulus Transformations
How do I sketch the graph of the modulus of a function:?y?= |f(x)|?
- STEP 1: Keep the parts of the graph of?y?=?f(x) that are?on or?above the?x-axis
- STEP 2: Any parts of the?graph below the x-axis?get?reflected?in the?x-axis anything
How do I sketch the graph of a function of a modulus:?y?=?f(|x|)?
- STEP 1: Keep the graph of?y?=?f(x)?only for?x?≥ 0
- STEP 2:?Reflect?this in the?y-axis
What is the difference between?y?= |f(x)| and?y?=?f(|x|)?
- The graph of?y?= |f(x)|?never goes below the?x-axis
- It does not have to have any lines of symmetry
- The graph of?y?=?f(|x|) is?always symmetrical about the?y-axis
- It can go below the?y-axis
When multiple transformations are involved how do I determine the order?
- The transformations?outside the function?follow the?same order?as the?order of operations
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