What is the equation of y=x3

with the given transformations?

vertical compression by a factor of 17
, horizontal shift 8 units to the left, reflection across the x-axis

The equation of the original function is y = x^3.

Vertical compression by a factor of 17 will result in the equation: y = 17(x^3).

Horizontal shift 8 units to the left will result in the equation: y = 17((x+8)^3).

Reflection across the x-axis will result in the equation: y = -17((x+8)^3).