Answer
The graph of $y=|x|$ (black)
- is stretched vertically by factor 2 to produce the graph of $y=2|x|$ (red)
- is stretched vertically by factor 4 to produce the graph of $y=4|x|$ (blue)
- is compressed vertically by factor $\displaystyle \frac{1}{2}$ to produce the graph of $y=\displaystyle \frac{1}{2}|x|$ (green)
We predict that
- compressing the graph of $y=|x|$ vertically by factor $\displaystyle \frac{1}{4}$ produces $y=\displaystyle \frac{1}{4}|x|$
- stretching the graph of $y=|x|$ vertically by factor 5 produces $y=5|x|$
Work Step by Step
The answer contains all necessary steps.
