Answer:
[tex]\boxed {\boxed {\sf C. \ (0,2)}}[/tex]
Step-by-step explanation:
The y-intercept of a graph occurs when the function cross the y or vertical axis. This is also where x is equal to 0.
Therefore, we can substitute 0 in for x and solve for y.
[tex]y= 2(4^x)[/tex]
[tex]y= 2(4^0)[/tex]
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
Solve the exponent. Any number raised to the power of 0 is equal to 1.
[tex]y= 2(1)[/tex]
Multiply.
[tex]y=2[/tex]
The y-intercept is 2. So, when x=0, y=2.
Coordinate points are written as (x, y). The y-intercept is (0,2).
