Translating Graphs Of Functions Up/Down, Left/Right
By DarthVader
Date: 2022-10-12
Topic: 166 see comments
Post views: 6242
Translating A Graph Of A Function Up/Down:
To move a graph of a function up or down, add a constant value to the independent variable:
[ For these examples the function (f(x) = x2 + 1) is used ]
Move Up:
In order to move the graph of this function up, add a positive constant to the function i.e any real number such as 2:
f(x) = x2 + 1 + 2
Move Down:
In order to move the graph of this function down, add a negative constant to the function i.e any real number again the example of the value 2 is used here:
f(x) = x2 +1 −2
Up/Down example: f(x) + 2 = x2 + 1 + 2
Move Left:
In order to move the graph of this function to the left, add a positive constant to the independent variable x, i.e any real number such as 3:
f(x) = (x + 3)2 + 1
Move Right:
In order to move the graph of this function to the right, add a negative constant to the independent variable x:
f(x) = (x − 3)2 + 1
Left/Right example: f(x + 3) = (x + 3)2 + 1
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