Questions: Describe how g(x) = 1/5 f(x) transforms the graph of the parent function f(x). The graph is reflected. The graph is wider. The graph is narrower. The graph has moved 5 units down.

Describe how g(x) = 1/5 f(x) transforms the graph of the parent function f(x).
The graph is reflected.
The graph is wider.
The graph is narrower.
The graph has moved 5 units down.

Transcript text: Describe how $g(x)=\frac{1}{5} f(x)$ transforms the graph of the parent function $f(x)$. The graph is reflected. The graph is wider. The graph is narrower. The graph has moved 5 units down.

Solution

Solution Steps

Step 1: Analyze the transformation

The function g(x) is obtained by multiplying the parent function f(x) by a factor of 1/5. This type of transformation is a vertical compression or stretch.

Step 2: Determine the effect of the factor

Since the factor 1/5 is between 0 and 1, the transformation is a vertical compression, making the graph appear wider.