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suppose that g(x) = f(x) - 4. which statement best compares the graph of g(x) with the graph of f(x)?
A the graph of g(x) is shifted 4 units up
B the graph of g(x) is shifted 4 units to the left
C the graph of g(x) is vertically stretched by a factor of 4
D the graph of g(x) is shifted 4 units down

Respuesta :

Yayo5
D. The x in the function is not being manipulated, meaning it is not a horizontal shift. Therefore, it is a vertical shift. Since the shift is negative, the function is shifted 4 units down. Think about it: suppose f(x) = x. If g(x) = x - 4, then the function would just be the graph of x shifted down 4. Apply this logic to any equation and it works.

The graph of g(x) is shifted 4 units down

What is the graph?

A diagram (such as a series of one or more points, lines, line segments, curves, or areas) that represents the variation of a variable in comparison with that of one or more other variables.

How to determine?

The x in the function is not being manipulated, meaning it is not a horizontal shift. Therefore, it is a vertical shift. Since the shift is negative, the function is shifted 4 units down. Think about it: suppose f(x) = x. If g(x) = x - 4, then the function would just be the graph of x shifted down 4. Apply this logic to any equation and it works.

Learn more about The graph:

https://brainly.com/question/4291574

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