Question

Identify a horizontal or vertical stretch or compression of the function f(x)= √x by observing the equation of the function g (x)=4 √x

Answer 1

Given:

The function f(x)= √x

The function g (x)=4 √x

Required:

Identify a horizontal or vertical stretch or compression of the functions.

Step-by-step explanation:

The given functions are:

`\begin{gathered} f\mleft(x\mright)=√(x) \\ g(x)=4√(x) \end{gathered}`

The function g(x) =4 f(x)

The graph of g(x) can be obtained by multiplying all the y-coordinates of points on the graph of f by a.

Here 4 > 1

By observation, we can say that the graph of g has undergone a vertical stretching by a factor of 4.

Final Answer:

The last op