Determine which of the following graphs represent the equation below. also determine the y-intercept of the graph.

Option (a)

Step-by-step explanation:

The given equation is  

y = 4 (2ˣ)

To find y-intercept, substitute x=0 in the equation.

y = 4 (2⁰) = 4 (1) =4

Hence y-intercept is 4.

Since y-intercept is 4, the equation should pass through the point (0,4).

The only graph passing through the point (0,4) is the graph in option (a).

Hence the answer is option (a).