contestada

Which function represents a horizontal shift of ƒ(x) = 5(2)^3x by 4 units to the right?

a. y = 0
b. y = 3
c. y = 4
d. y = 5

Respuesta :

General Idea:

Say if f(x) is the parent function, then f(x-c) represents transformation described as horizontal translation or shift of f(x) by ' c ' units to the right.

Applying the concept:

Here we are given a function [tex] f(x)=5(2)^{3x} [/tex], after the transformation of horizontal shift of 4 units to the right, the function will be given as below:

[tex] f(x)=5(2)^{3(x-4)}=5(2^{3})^{x-4}=5(8)^{x-4} \\ or\\ f(x)=5(2)^{3x-12} [/tex]

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