Answer:
[tex]y=tan \frac{x}{10}[/tex]
Step-by-step explanation:
The base of the tangent functions is [tex]y=\tan x[/tex].
This is also called the parent tangent function that has a period of [tex]\pi[/tex].
The transformation that stretches the graph of [tex]y=\tan x[/tex] horizontally by a factor of B is [tex]y=\tan \frac{x}{B}[/tex]
From the question, the basic tangent function was stretched horizontally by a factor of 10.
This implies that [tex]B=10[/tex]
The equation of the transformed function is [tex]y=tan \frac{x}{10}[/tex]
The period of this function is [tex]10\pi[/tex]
See how [tex]y=tan \frac{x}{10}[/tex] (red graph) is horizontally stretched as compared to [tex]y=\tan x[/tex] (blue graph) in the attachment.
