Does y=-3(4^x) represent an exponential function?
I think it does, but I'm not sure
yes
a^x where a is any constant is an exponential function
Yes, the equation y = -3(4^x) represents an exponential function.
To determine if an equation represents an exponential function, we need to examine its general form: y = ab^x, where a and b are constants.
In the given equation, y = -3(4^x), we can rewrite it as y = -3 * (2^2)^x, and further simplify it as y = -3 * 2^(2x). Here, we can see that a = -3 and b = 2.
Since the equation follows the general form of y = ab^x, with constants -3 and 2, it represents an exponential function.
In this case, the base of the exponential function is 2, and it is raised to the power of 2x. The coefficient -3 in front of the exponential term indicates a vertical reflection, meaning that the graph will be reflected about the x-axis.
Overall, y = -3(4^x) is an exponential function with a base of 2 and a vertical reflection.