The graph of f(x) can be compressed vertically and shifted to the righ to produce the grpah of g(x). if f(x)=x^3, which of the following could be the equation of g(x)?
a. g(x)=4(x-3)^3
b. g(x)=1/4(x+3)^3
c. g(x)=4(x+3)^3
d. g(x)=1/4(x-3)^3

option D

Step-by-step explanation:

Given f(x)= x^3

the graph of F(x) can be compressed vertically and shifted to the right to produce the graph of G(x)

The graph is vertically compressed when f(x) is multiplied with any fraction

Fraction means the number is between 0  and 1

So we choose option B  and D

Now the graph of f(x) is shifted to the right

When graph is shifted to the right we subtract some number from x

In option D , 3 is subtracted from x

That means graph is shifted 3 units to the right

So option D is correct

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