Algebra-2

Question Analysis
This question involves identifying the vertical shift of a cube root function from its graph. The main focus is on using the central point (where the "S" shape balances) of the graphed function to find the missing vertical shift value.

Key Concept Explanation
Central Point of Parent Cube Root Function: The parent function has a central point at —this is where the "S" shape changes direction (from decreasing to increasing).
Vertical Shift for Cube Roots: When a cube root function is shifted vertically by k units, its equation becomes . The central point of this shifted function moves to : the x-coordinate stays 0 (no horizontal shift), and the y-coordinate equals k.

Step-by-step Solution
1. Identify the central point of the graphed function: The graph is a cube root function (no starting point, "S" shape) and passes through . For cube roots with no horizontal shift, this is the central point .
2. Recall the form of a vertically shifted cube root function:

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