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.

Question

Mathematics

Sophie Chapman

18 May, 05:19

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.

+1

Answers (2)

Know the Answer?

Piper Holland · Answer 1

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

Genevieve Gomez · Answer 2

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.