Answer: g(x)=(3)-x
to reflect across the y-axis is to change the x coordinate values to opposite of what it is originally. ie;
f(x)=(3)x Now for a reflection across y-axis
g(x)=(3)-x
Answer:
[tex]g(x)= 3^{-x}[/tex]
Step-by-step explanation:
Given parent function is [tex]f(x)= 3^x[/tex]
we need to find a function that is a reflection across y axis
For f(x) , reflection across y axis
f(x) becomes f(-x)
For reflection across x axis, we multiply negative sign with x
f(x) becomes f(-x)
[tex]f(x)= 3^x[/tex] becomes [tex]f(x)= 3^{-x}[/tex]
Replace f(x) with g(x)
[tex]g(x)= 3^{-x}[/tex]
