Write a rule for g described by the transformation of the graph of f

Question

Let g be a reflection in the y-axis, followed by a translation of 5 units left of the graph of f(x) = 4∛x-1

Answer 1

Reflection in the y-axis means to negative x.

 

-x - 1

 

 

Then shift 5 units to the left.

 

(-x - 1) - 5 = -x - 6

 

 

Then your transformed function is

 

g(x) = 4 ³√(-x - 6)