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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?

consider the function fx x12 and the function G shown below gx f14 x 14 x12how will the graph of the function g differ from the graph of the function f class=

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ANSWER

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

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.

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