Answer:
y = [tex]-2^x[/tex]
Step-by-step explanation:
If the equation of a function is in the form of y = h(x)
When the graph of this function is reflected across x-axis,
Transformed function will be,
y = -h(x)
Further reflected across y-axis, then the transformed function will be,
y = -h(-x)
By this rule,
Given equation when reflected across x-axis,
y = [tex]-(\frac{1}{2})^{x}[/tex]
Further reflected across y-axis,
y = [tex]-(\frac{1}{2})^{-x}[/tex]
y = [tex]-(2^{-1})^x[/tex]
y = [tex]-2^x[/tex]
