Question

The graph of function g is a vertical stretch of the graph of function f ​​by a factor of 10.

Which equation describes function g?


​​ g(x)=f(x10)

​​ g(x)=f(10x)

​ ​ g(x)=1/10f(x)

g(x)=10f(x)

Answer 1

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 10.

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 10.

So, g(x) = 10 f(x).

Therefore, correct option is 4th option g(x)=10f(x).