The graph of the function yx32x is shifted to the right 9 un

The graph of the function y=x^32x is shifted to the right 9 units. Find an equation for this shifted function.

Solution

Y= X³ - 2X

If the graph of the function is shifted by 9 units to the right, we need to replace X by (X-9) in the right side.

Then the new function would be Y= (X-9)³ - 2(X-9)
Applying the formala (a-b)³ = a³ -3a²b + 3ab² - b^3, we get

Y = X³ - 27X² + 241X -711. This would be equation of the new shifter function,