Question
What does the transformation f(x)→ 1/9f(x) do to the graph of f(x)?
stretches it vertically
stretches it horizontally
shrinks it vertically
shrinks it horizontally
stretches it vertically
stretches it horizontally
shrinks it vertically
shrinks it horizontally
Answers
GPT-4o mini
The transformation \( f(x) \to \frac{1}{9}f(x) \) shrinks the graph of \( f(x) \) vertically by a factor of \( \frac{1}{9} \).
To clarify, multiplying the function \( f(x) \) by a value less than 1 (in this case, \( \frac{1}{9} \)) compresses the graph towards the x-axis, making the output values of the function smaller. Thus, for every \( x \), the new value is \( \frac{1}{9} \) times the original value.
So, the correct answer is:
**shrinks it vertically.**
To clarify, multiplying the function \( f(x) \) by a value less than 1 (in this case, \( \frac{1}{9} \)) compresses the graph towards the x-axis, making the output values of the function smaller. Thus, for every \( x \), the new value is \( \frac{1}{9} \) times the original value.
So, the correct answer is:
**shrinks it vertically.**