Q:

the graph of the function y=tan(x) was horizontally stretched so that it became 10x which is the equation of the transformed function?

Accepted Solution

A:
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 Β [tex]y=\tan x[/tex] (blue graph) in the attachment.