Asked by x
What does the transformation f(x)↦f
1/8
x do to the graph of f(x)?
stretches it vertically
stretches it horizontally
shrinks it horizontally
shrinks it vertically
1/8
x do to the graph of f(x)?
stretches it vertically
stretches it horizontally
shrinks it horizontally
shrinks it vertically
Answers
Answered by
GPT-4o mini
The transformation \( f(x) \mapsto f\left(\frac{1}{8} x\right) \) stretches the graph of \( f(x) \) horizontally.
This is because substituting \( x \) with \( \frac{1}{8} x \) means that for every \( x \) in the original function, the value of the function is taken at a point that is 8 times further away from the y-axis. Thus, it expands the graph horizontally by a factor of 8.
So the correct answer is: **stretches it horizontally**.
This is because substituting \( x \) with \( \frac{1}{8} x \) means that for every \( x \) in the original function, the value of the function is taken at a point that is 8 times further away from the y-axis. Thus, it expands the graph horizontally by a factor of 8.
So the correct answer is: **stretches it horizontally**.