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The x-values in the table for f(x) were multiplied by -1 to create the table for g(x). What is the relationship between the graphs of the two functions?


f(x)

x y

-2 -31

-1 0

1 2

2 33


g(x)

x y

2 -31

1 0

-1 2

-2 33




A.

They are reflections of each other over the line x = y.


B.

The graphs are not related.


C.

They are reflections of each other across the x-axis.


D.

They are reflections of each other across the y-axis.

Respuesta :

wegnerkolmp2741o

Answer:

D. They are reflections of each other across the y-axis.

Step-by-step explanation:

F(x) becomes g(x)  the only difference is that x becomes negative x

(x,y) → (-x,y)   reflection  over the y-axis


If we had had

(x,y) → (x,-y)   reflection  over the x-axis

(x,y) → (y,x)   reflection  over the line x=y

Answer:

The graph of g(x) will be the reflection of f(x) in the y axis.

Step-by-step explanation:

Because the corresponding  x values in f(x) and g(x)  are symmetrical about the y axis.


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