Question

What is y=x by a vertcal stretch of 5

Answer 1

Answer: The vertical stretch of 5 in the equation y = x is defined by $y=5x$.

Explanation:

The given equation is,

$y=x$

It can be written as,

$f(x)=x$

The function is defined as $S\cdot f(x)$.

If $S\geq 1$, then  the function has a vertical stretch by a factor of S units.

If $0$, 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.

$y=5f(x)$

$y=5x$

The below figure shows the graph of y = x and $y=5x$.