which of the following is a horizontal stretch of the parent function?
which of the following is a horizontal stretch of the parent function?
Answer
Explanation:
Step1: Recall transformation rules
For a function $y = f(x)$, a horizontal stretch by a factor of $a>1$ is of the form $y = f(\frac{1}{a}x)$. Visually, the graph of the parent - function will spread out horizontally.
Step2: Analyze the graphs
The parent function of an absolute - value function $y = |x|$ has a "V" shape with the vertex at the origin $(0,0)$. A horizontal stretch will make the "V" wider. The first graph has a wider "V" shape compared to the standard $y = |x|$ graph. The second graph is a vertical stretch (narrower "V" shape), and the third graph is a horizontal compression (narrower "V" shape horizontally).
Answer:
The first graph on the left - hand side.