Question

Which best describes how the graph of g(x) =√ 25/9x relates to the graph of the parent function, f(x) = √x?

A. The graph of g(x) is shrunk vertically by a factor of 5/3

B. The graph of g(x) is stretched vertically by a factor of 5/3

C. The graph of g(x) is shrunk vertically by a factor of 25/9.

D. The graph of g(x) is stretched vertically by a factor of 25/9

Answer 1

The graph of g(x) = √ 25/9x is shrunk vertically by a factor of 5/3.

Step-by-step explanation:

The function g(x) = √(25/9)x is obtained by multiplying the input of the parent function f(x) = √x by 25/9. This results in a horizontal compression or shrinkage of the graph. However, when looking at the vertical axis, there is no change in the output values. Therefore, the graph of g(x) is not stretched or shrunk vertically. The correct option is A. The graph of g(x) is shrunk vertically by a factor of 5/3.