Question

the graph of function g is a vertical stretch of the graph of function f by a factor of 10. which equation describes function g? \\(\circ\\ g(x)=f(10x)\\) \\(\circ\\ g(x)=10f(x)\\) \\(\circ\\ g(x)=\frac{1}{10}f(x)\\) \\(\circ\\ g(x)=f(\frac{x}{10})\\)

Explanation:

Step1: Recall vertical stretch rule

For a vertical stretch by factor $k$, $g(x)=kf(x)$.

Step2: Substitute $k=10$

$g(x)=10f(x)$

Step3: Match with options

This matches the second option.

Answer:

$g(x) = 10f(x)$