Concept explainers
Describe how to transform the graph of
In order to obtain the graph of g(x), translate the graph of function f(x) to left by 2 units followed by down by 3 units and then vertically compress by
Given:
Calculation:
The given function is
The parent function is
We can see that 2 has been added from x in g(x).
Whenever any constant ‘c’ is added from x , then the graph will be translated left by ‘c’ units.
Hence, the graph will be translated left by 2 units.
We can see that 3 has been subtract from the function f(x). And as per the transformation rule, whenever we subtract any constant ‘c from function, then the graph will translate down by c units.
Hence, the graph will be translated down by 3 units.
Moreover,
Therefore, in order to obtain the graph of g(x), translate the graph of function f(x) to left by 2 units followed by down by 3 units and then vertically compress by
Below, is the graph.
Chapter 2 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
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