Questions: What does the transformation (f(x) mapsto 4 f(x)) do to the graph of (f(x))? shrinks it vertically shrinks it horizontally stretches it vertically stretches it horizontally

What does the transformation (f(x) mapsto 4 f(x)) do to the graph of (f(x))?
shrinks it vertically
shrinks it horizontally
stretches it vertically
stretches it horizontally

Transcript text: What does the transformation $f(x) \mapsto 4 f(x)$ do to the graph of $f(x)$ ? shrinks it vertically shrinks it horizontally stretches it vertically stretches it horizontally

Solution

Solution Steps

Step 1: Analyzing Vertical Transformations

Given the transformation $f(x) \mapsto a f(x)$ with $a = 4$, Since $\lvert a \rvert = \lvert 4 \rvert > 1$, the graph of $f(x)$ is stretched vertically.

Step 2: Analyzing Horizontal Transformations

Given the transformation $f(x) \mapsto f(bx)$ with $b = 1$,