1. The problem states that the function $f(x) = 52x - 33$ is rotated clockwise, and we need to find a possible equation for the transformed function $g(x)$.
2. When a linear function $y = mx + b$ is rotated clockwise by 90 degrees about the origin, the slope $m$ transforms to $-\frac{1}{m}$, and the intercept changes accordingly.
3. The original slope is $m = 52$.
4. The new slope after a 90-degree clockwise rotation is:
$$m' = -\frac{1}{52}$$
5. Since none of the given options have slope $-\frac{1}{52}$, the rotation might be by 180 degrees or another angle.
6. A 180-degree rotation changes the function to:
$$g(x) = -52x + 33$$
7. Checking the options, $g(x) = -52x + 52$ is close but intercept differs.
8. The only option with slope $-52$ is $g(x) = -52x + 52$.
9. Since the intercept changed from $-33$ to $52$, this could be a vertical shift after rotation.
10. Therefore, a possible transformed function is:
$$g(x) = -52x + 52$$
Function Rotation 6304F6
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.