Transformations of Exponential Functions

Let's first consider the possible transformation(s) that might be applied to the parent function $f (x) = b^{x} .$

Vertical Stretch or Shrink of $f (x) = b^{x}$
$Vertical stretch, a > 1 y = a f (x)$	$Vertical shrink, 0 < a < 1 y = a f (x)$

Notice that in our case $b = 9,$ so we're looking for transformation(s) of the function $f (x) = 9^{x} .$ Now, let's consider the given function. $y = \frac{1}{2} (9)^{x}$ Looking at the function, we can see that the transformation is a vertical shrink by a factor of $2 .$

Transformations of Exponential Functions 1.1 - Solution