Answer with explanation:
→→The Parent function is ,
[tex]f(x)=(x-1)^{\frac{1}{3}}[/tex]
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
[tex]g(x)=(-x-1)^{\frac{1}{3}}[/tex]
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
