The graph of function g is a vertical stretch of the graph of function f by a factor of 5. Which equation describes function g? A) g (x) = 5f (x)

B) g (x) = f (5x)

C) g (x) = 1/5f (x)

D) g (x) = f (x/5)

We are given a function f (x).

And function g (x) is the function get after transformation of f (x) a vertical stretch of the graph of function f by a factor of 5.

We know transformation rule when it's a vertical stretch by a given scale factor.

y = k f (x) : f (x) is stretch by a scale factor of k. Where |k| > 0.

So, we need to multiply given function f (x) by given scale factor 5.

So, g (x) = 5 f (x).

Therefore, correct option is 1st option g (x) = 5f (x).