Let the graph of g

Question

Let the graph of g be a reflection in the y-axis, followed by a translation 7 units to the right of the graph of f(x) = 3^√x. Write a rule for g.

Answer 1

Reflections across the y axis are achieved by adding a negative in front of the "x" like this:

y = 3^√-(x)

Left/right translations are achieved by adding or subtracting from "x" only you do the opposite. So, moving right 7 units means adding "- 7" to the "x" like this:

g(x) = 3^{√-(x - 7)}