The graph of f(x) = ( 1/4)^−x is reflected about the y-axis and compressed vertically by a factor of 1/3 . What is the equation of the new function, g(x)?

Question

g(x) = 

y-intercept of g(x)= (x,y)

domain and range of g(x) in interval notation

Answer 1

f(x) = y = (1/4)^-x reflected about the y axis

is

found by changing x to -x or vice versa

y = (1/4)^x

compressed vertically by 1/3

y = (1/3)(1/4)^x