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Which of the following equations represents f(x)=x^4stretched vertically by a factor of 2 and horizontally by a factor of 4?

a.) f(x)=1/4(2x)^4
b.)f(x)=4(2x)^4
c.)f(x)=2(1/4x)^4
d.)f(x)=2(4x)^4

Respuesta :

altavistard
Mult. f(x) = x^4 by 2 will stretch the graph vertically by a factor of 2.
Thus, eliminate (a) and (b).

Mult. x by (1/4) will stretch the graph horiz. by a factor of 4.  Thus, (c) is the correct answer.

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