Question

7. Identify a horizontal or vertical stretch or compression of the function f(x)=√x by observing the equation of the function g(x)=√3x.

Answer 1

Given:

The function is:

`\begin{gathered} f(x)=√(x) \\ \\ g(x)=√(3x) \end{gathered}`

Find-:

The horizontal or vertical stretch or compression of the function

Explanation-:

The graph of a function is:

The f(x) is:

`f(x)=√(x)`

The graph of function is:

`g(x)=√(3x)`

So, the both function is:

So, the graph is vertically stretch by √3

`\begin{gathered} f(x)=√(x) \\ \\ g(x)=√(3x) \\ \\ g(x)=√(3)√(x) \end{gathered}`