Question

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)?

Answer 1

Answer:

The answer is C (my colors are reversed)

Step-by-step explanation:

I would never have been able to guess the syntax of this question (that it was a cube root for one thing) and am posting my answer only so you can choose the answer of SQDF as Brainliest.

Having found out the syntax, Desmos can reproduce the graph and that will give you the answer.

Red: f(x) = cube root(x - 1)

Blue: g(x) = cube root(-x - 1)

Answer 2

Answer:

C

Step-by-step explanation:

f(x) = ∛(x-1) has a positive slope everywhere. Graphs A, C, D all have f(x) properly shown.

g(x) = f(-x), so is a reflection of f(x) across the y-axis. Only graph C shows this properly.