ANSWER
C. (0,4)
EXPLANATION
The given graph has equation:
[tex]y = 4( {3}^{x} )[/tex]
The y-intercept is where the graph touches the y-axis.
At this point the value of x is zero.
We substitute x=0 into the equation to obtain:
[tex]y = 4( {3}^{0} )[/tex]
Recall that any non-zero number exponent zero is 1.
This implies that,
[tex]y = 4( 1 ) = 4[/tex]
Hence the y-intercept is (0,4)
The correct answer is C.