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:

option C

Step-by-step 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

Answer 2

Answer with explanation:

→→The Parent function is ,

$f(x)=(x-1)^{\frac{1}{3}}$

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

$g(x)=(-x-1)^{\frac{1}{3}}$

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