Question

consider the function f(x) = x^1/2 and the function G, shown below. g(x)= f(1/4 • x) = (1/4 •x)^1/2how will the graph of the function g differ from the graph of the function f?

Answer 1

The graph of function g is the graph of function f stretched horizontally by a factor of 4.

Step-by-step explanation

Function g(x) is a transformation of function f(x), obtained by multiplying the variable, x, by 1/4. This is described as a horizontal stretch by a factor of 4.

Hence, the graph of function g is the graph of function f stretched horizontally by a factor of 4.