dathanboyd
28.07.2020 •
Mathematics
Describe the transformation of ƒ(x) = 10x which is given by g(x) = 103x. Question 20 options: A) g(x) is shrunk horizontally by a factor of 1∕3 compared to ƒ(x). B) g(x) is stretched vertically by a factor of 3 compared to ƒ(x). C) g(x) is shrunk vertically by a factor of 1∕3 compared to ƒ(x). D) g(x) is stretched horizontally by a factor of 3 compared to ƒ(x).
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Ответ:
A) g(x) is shrunk horizontally by a factor of 1∕3 compared to ƒ(x).
Step-by-step explanation:
Given: f(x) 10x
g(x) =10(3x)
= f(3x)
Since, f(ax) is a horizontal compression when a> 1 by the factor of
That means g(x) is shrunk horizontally by a factor of compared to ƒ(x).
So, the correct option is A) g(x) is shrunk horizontally by a factor of 1∕3 compared to ƒ(x).
Ответ: