Horizontal Translation of Quadratic Function

Here is one way to understand how the graph of f(x) translates to f(x-1): Suppose that your input value is x=3. Then the corresponding point on the graph of f is (3, f(3)). If you now use the same input value for f(x-1), the input is again x=3, but now, before you evaluate the function, you subtract 1. The corresponding point is (3, f(3-1)) or (3, f(2)). In other words, at x=3, the new point has the same height (or y value) as f(2). This can be thought of as a translation of the point (3, f(3)) to the right by one unit, or (3, f(2)).

 

jmartlong1964

 
Material Type
Activity
Tags
function  translation  horizontal 
Target Group (Age)
15 – 18
Language
English (United Kingdom)
 
 
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4.0
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