Which graph models the function f(x)=-2(3)^x

Given the function:                                .....[1]

An exponential function is in the form of .

From the given equation [1] we have;

Here, a = -2 < 0 and b = 3 > 1.

For this function, x-intercepts doesn't exist, as it does not crosses the x-axis graph.

y-intercept states that the graph crosses the y-axis.

Substitute value of x =0 in [1] to solve for y;

y = -2

y-intercept = (0, -2)

End Behavior of the given graph :

If , then

and

If , then

Also, You can see the graph as shown below in the attachment.