The graph of an exponential function is given Match the grap

The graph of an exponential function is given. Match the graph to one of the following functions.

Solution

The answers have not been given

Parent function : y = (a)^x

horizontal asymtote at y = - 2

y = (a)^x - 2

It a passes through ( 0, 1) : y = (a)^x - 2

It passes through ( 0.5 , 0) : 2 = a^0.5

a = 2^2 = 4

So, f(x) = 4^x - 2