Question
Analyze the two functions \( f(x)=(x+2)^{3}-5 \) and \( g(x)=(7(x+2))^{3}-5 \). What is the transformation that occurs from \( f(x) \) to \( g(x) \) ? For the first response, enter 1 for stretch and 2 for compression. If your second response is not a whole number, enter it as a fraction. (1 point) The transformation is a horizontal \( \square \) by a factor of \( \square \).
Ask by Black Stephens. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The transformation is a horizontal **compression** by a factor of **\( \frac{1}{7} \)**.
Solution
The transformation from \( f(x) \) to \( g(x) \) involves a horizontal compression by a factor of \( \frac{1}{7} \).
- **First response (transformation type):** 2 (compression)
- **Second response (factor):** \( \frac{1}{7} \)
**Complete Statement:**
The transformation is a horizontal **2** by a factor of **\( \frac{1}{7} \)**.
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The transformation is a horizontal 1 by a factor of \( \frac{1}{7} \).
