Question

Which function represents g(x), a reflection of f(x) = (3)x across the y-axis?

g(x) = 2(3)x
g(x) = −(3)x
g(x) = (3)−x
g(x) = 2(3)-x

Answer 1

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 2

`g(x)= 3^(-x)`

Explanation:

Given parent function is
`f(x)= 3^x`

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)

`f(x)= 3^x` becomes
`f(x)= 3^(-x)`

Replace f(x) with g(x)

`g(x)= 3^(-x)`