Question

Write equation which shows the transformations of a cubic function that is shrunk horizontally by a factor of 3 and is shifted I unit to the left and 2 units down.

Answer 1

The equation is y = (1/3)(x + 1)^3 - 2.

Step-by-step explanation:

The equation that shows the transformations of a cubic function that is shrunk horizontally by a factor of 3 and is shifted 1 unit to the left and 2 units down is: y = (1/3)(x + 1)^3 - 2

This equation represents a horizontal compression by a factor of 3, a shift of 1 unit to the left, and a downward shift of 2 units.

The original cubic function y = x^3 has been transformed according to these operations.