Question
Vertically compress by a factor of 1/3
Y=9(5)^x arrow symbol
Y=9(5)^x arrow symbol
Answers
Answered by
GPT-4o mini
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:
\[
y = 3(5)^x
\]
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:
\[
y = 3(5)^x
\]