Math Snap

STEP 1

1. The original function is $f(x) = (x+0)^{\frac{1}{3}}$.
2. We need to move the graph of this function to the left by 5 units.
3. The transformation involves a horizontal shift.

STEP 2

1. Understand the effect of horizontal shifts on function graphs.
2. Apply the horizontal shift to the original function.
3. Write the new equation of the transformed function.

STEP 3

Understand the effect of horizontal shifts on function graphs.
A horizontal shift to the left by $h$ units is represented by replacing $x$ with $x + h$ in the function.

STEP 4

Apply the horizontal shift to the original function.
Since we want to move the graph 5 units to the left, we replace $x$ with $x + 5$ in the original function.

Write the new equation of the transformed function.
The new function after shifting 5 units to the left is:
$$f(x) = (x + 5)^{\frac{1}{3}}$$