Question

[Please Help]

The parent function `f(x) = root (3)(x - 1)` is transformed to `g(x) = root (3) (-x-1).` Which graph correctly shows the functions f(x) and g(x)?

A. Graph A

B. Graph B

C. Graph C

D. Graph D

Answer 1

Answer with explanation:

→→The Parent function is ,

`f(x)=(x-1)^{(1)/(3)}`

Substituting different values of , x in above function and Obtaining different f(x)

x 1 2 -1 -2 0 3 -3

f(x) 0 1 -1.3 -1.45 -1 1.3 -1.59

and plotting the points in the coordinate plane

→→The transformed function is

`g(x)=(-x-1)^{(1)/(3)}`

Substituting different values of , x in above function and Obtaining different f(x)

x 1 2 -1 -2 0 3 -3

g(x) -1.3 -1.45 0 1 -1 -1.59 1.3

and plotting the points in the coordinate plane

And if you match the graph of f(x) and g(x) , with the four of the graphs given of f(x) and g(x)

Option C

Answer 2

option C

Explanation:

We can easily solve this question by using a graphing calculator or any plotting tool, to verify each equation

f(x) = root (3)(x - 1)

g(x) = root (3) (-x-1)

Please, see attached picture.

Answer is option C