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:

$\begin{gathered} f(x)=\sqrt{x} \\ \\ g(x)=\sqrt{3x} \end{gathered}$

Find-:

The horizontal or vertical stretch or compression of the function

Explanation-:

The graph of a function is:

The f(x) is:

$f(x)=\sqrt{x}$

The graph of function is:

$g(x)=\sqrt{3x}$

So, the both function is:

So, the graph is vertically stretch by √3

$\begin{gathered} f(x)=\sqrt{x} \\ \\ g(x)=\sqrt{3x} \\ \\ g(x)=\sqrt{3}\sqrt{x} \end{gathered}$