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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 − 2)?

A. The graph of y = f(x) will shift left 2 units.
B. The graph of y = f(x) will shift right 2 units.
C. The graph of y = f(x) will shift up 2 units.
D. The graph of y = f(x) will shift down 2 units.

Respuesta :

Answer:

A

Step-by-step explanation:

because it's subtracting the xaxis by -2 so subtracting it will cause the linear equations to shift left by 2 untis

Answer:

A.The graph of y=f(x) will shift left 2 units.

Step-by-step explanation:

We are given that a function

[tex]y=f(x)[/tex]

The graph y=f(x) is replacing by y=f(x-2)

We have ton find a statement that describes the best effect of replacing the graph of y=f(x) with the graph of y=f(x-2).

x is replace by x-2

It means x  shift 2 units towards left side.

Suppose, [tex]y_1=x[/tex]

[tex]y_2=x-2[/tex]

x=1

Then, [tex]y_1=1[/tex]

[tex]y_2=1-2=-1[/tex]

Therefore, f(x) will shift left 2 units to obtain y=f(x-2) .

Answer:A.The graph of y=f(x) will shift left 2 units.