Answer: The vertical stretch of 5 in the equation y = x is defined by [tex]y=5x[/tex].
Explanation:
The given equation is,
[tex]y=x[/tex]
It can be written as,
[tex]f(x)=x[/tex]
The function is defined as [tex]S\cdot f(x)[/tex].
If [tex]S\geq 1[/tex], then the function has a vertical stretch by a factor of S units.
If [tex]0<S< 1[/tex], then the function has a vertical shrink by a factor of S units.
Since we have to find the vertical stretch of 5 in the equation y = x.
[tex]y=5f(x)[/tex]
[tex]y=5x[/tex]
The below figure shows the graph of y = x and [tex]y=5x[/tex].
