which is the graph of $f(x)=\frac{1}{4}(4)^{x}$?

which is the graph of $f(x)=\frac{1}{4}(4)^{x}$?

which is the graph of $f(x)=\frac{1}{4}(4)^{x}$?

Answer

Explanation:

Step1: Find the y - intercept

Substitute (x = 0) into (y=\frac{1}{4}(4)^{x}). Then (y=\frac{1}{4}(4)^{0}=\frac{1}{4}\times1=\frac{1}{4}).

Step2: Check points on the graph

For (x = 2), (y=\frac{1}{4}(4)^{2}=\frac{1}{4}\times16 = 4).

Answer:

The graph that has the y - intercept at ((0,\frac{1}{4})) and the point ((2,4)) is the correct graph. Without labeled options, based on the above - calculated points, the graph with the point ((2,4)) is the answer.