Looking at the function, we can see that it has been reflected across the x-axis, and translated 3 units to the left.
Let's show the transformations one at a time.
Reflection
Let's start by considering the parent function y=0.5^x. If we perform a reflection across the x-axis, the resulting function is y=- (0.5)^x.
Horizontal Translation
Finally, we will consider the function y=- (0.5)^(x+3). This is a horizontal translation of y=- (0.5)^(x+3) to the left by 3 units.
Extra
Possible Transformations
The following table illustrates the general form for all possible transformations of functions.
