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Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x) − 11?
The graph of y = f(x) will shift up 11 units.
The graph of y = f(x) will shift right 11 units.
The graph of y = f(x) will shift left 11 units.
The graph of y = f(x) will shift down 11 units.
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Do you know about vertical shifts with these graphs?
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Vertical shifts have to do with the y-points of graph. The Horizontal shifts have to do with the x-points of graphs. In this case, I will assume f(x)=x so y=x-11. It makes it easier, anyways. When dealing with these functions, those end parts to the equation will tell you if the graph is moving positive or negative in its direction. In this case "-11" is a negative shift.
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oh!! okay thank you, i know it now
@lexber now there could be the instant that they would want you to set it to f(x)=y instead.
But, I do not think that is what they want you to do in this case. I think they want you di identify the 11 as your vertical shift downwards.