Describe the transformations from the parent function f(x)=x^3 g(x)=-3(x-4)^3-5

To describe the transformations from the parent function to the function , we need to analyze the changes in the equation.1. Horizontal shift:The term in the function indicates a horizontal shift of the graph of to the right by 4 units.2. Vertical stretch and reflection:The coefficient in front of the cubic term in indicates a vertical stretch by a factor of 3 and a reflection across the x-axis.3. Vertical shift:The constant term in indicates a vertical shift of the graph of downward by 5 units.Therefore, the transformations from the parent function to the function are:- Horizontal shift to the right by 4 units- Vertical stretch by a factor of 3- Reflection across the x-axis- Vertical shift downward by 5 units