Answer:
Option C is correct.
Step-by-step explanation:
The exponential function is of the form: 
 where a is initial value and b  is the base.
*If base b>1
(i) For positive value of a.
If x increases then, f(x) tends to positive infinity.
(ii)For negative value of a.
if x increases, then f(x) tends to negative infinity.
*if 0<b<1 , 
(i)For positive value of a.
If x increases then, f(x) tends to 0.
(ii)For negative value of a.
if x increases, then f(x) tends to 0.
Given the exponential function 
Here, value of a = -4 and b = 2>1
From the above definition,
as we increase x , f(x)
 , f(x) .
.
Y-intercept ( plug x =0 to solve for y)
Substitute the value of x =0 in given equation;

Y-intercept (0, -4)
Therefore, the only correct option is C because if we increase the value of x,  the function f(x) tends to negative infinity and also it cut the y-axis at y = -4.