Vertically compress by a factor of 1/3

Question

Y=9(5)^x arrow symbol

Answer 1

To vertically compress the function \( y = 9(5)^x \) by a factor of \( \frac{1}{3} \), you multiply the entire function by \( \frac{1}{3} \).

The original function is:

\[ y = 9(5)^x \]

To apply the vertical compression, we rewrite the function as:

\[ y = \frac{1}{3} \cdot 9(5)^x \]

Now, simplifying this gives:

\[ y = 3(5)^x \]

So, the new function after vertically compressing by a factor of \( \frac{1}{3} \) is:

\[ y = 3(5)^x \]