Question

Select the correct answer. If g(x) = f(4x), which statement is true? A. The graph of function f is stretched horizontally by a scale factor of 4 to create the graph of function g. B. The graph of function f is compressed vertically by a scale factor of to create the graph of function g. C. The graph of function f is compressed horizontally by a scale factor of to create the graph of function g. D. The graph of function f is stretched vertically by a scale factor of 4 to create the graph of function g. Reset

Answer 1

C

Explanation:

f(4x) is the same as 1/4x, so every value of x has been, as you could say, 'multiplied' by 1/4, so instead of x=1 y=1, when x=1, y would be 1/4, x=2 is y=2/4=1/2, x=3 is y=3/4 and so on. This is basically a compression compared to f(x) and its compressed horizontally as the x value has been affected

:)