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

`y=tan (x)/(10)`

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 (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 (x)/(10)`

The period of this function is
`10\pi`

See how
`y=tan (x)/(10)` (red graph) is horizontally stretched as compared to
`y=\tan x` (blue graph) in the attachment.