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? ​​


1. g(x)=f(10x)


2. g(x)=10f(x) ​ ​


3. g(x)=1/10f(x) ​​


4. g(x)=f(x/10)

Answer 1

That would be option 2

g(x) = 10 f(x) - because for every value x the value of g(x) will be ten times f(x).

Answer 2

Vertical stretch:

Suppose, we are given any function f(x)

and it is asked to vertically stretch graph of f(x) by 'a' units

Vertical stretch means stretching y-value

and f(x) is y-value

so, we multiply 'a' to f(x)

so, our function will become now, we are given The graph of function g(x) is a vertical stretch of the graph of function f(x) by a factor of 10.

It means that parent function is f(x)

and new function becomes g(x)

and it is stretching vertically by 10 units so, we can write as

............Answer

I hope this helps :) please let me know if it is 100% correct!