Give the equation of the resulting function .The function f(x)=3^x is reflected across the y-axis

Question

Give the equation of the resulting function .The function f(x)=3^x is reflected across the y-axis

Answer 1

If f(x) is a parent function then - f(x) is the function reflected across the x axis.

So -3^x

Answer 2

3^x reflected across the y axis, across x=0

+x becomes -x

3^-x or 1/3^x

for example, if (2, 3^2)= (2,9) is a point on f(x) then (-2, 3^2) = (-2, 9) is a point on f(-x)

it's an even function axis of symmetry is x=0

f(x) = f(-x)

f(-x) = 3^(-x)= -1/3^x