Question

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

Answer 1

Answer:

$y=tan \frac{x}{10}$

Step-by-step explanation:

The base of the tangent functions is $y=\tan x$.

This is also called the parent tangent function that has a period of $\pi$.

The transformation that stretches the graph of $y=\tan x$ horizontally by a factor of B is $y=\tan \frac{x}{B}$

From the question, the basic tangent function was stretched horizontally by a factor of 10.

This implies that $B=10$

The equation of the transformed function is $y=tan \frac{x}{10}$

The period of this function is $10\pi$

See how $y=tan \frac{x}{10}$ (red graph) is horizontally stretched as compared to  $y=\tan x$ (blue graph) in the attachment.