Answered

Which table shows the reflection of f(x) across the x-axis?
The first picture is the given table and the other three are the possible answers.

Which table shows the reflection of f(x) across the x-axis?The first picture is the given table and the other three are the possible answers. class=
Which table shows the reflection of f(x) across the x-axis?The first picture is the given table and the other three are the possible answers. class=
Which table shows the reflection of f(x) across the x-axis?The first picture is the given table and the other three are the possible answers. class=
Which table shows the reflection of f(x) across the x-axis?The first picture is the given table and the other three are the possible answers. class=

Answer :

Answer:

The correct option is;

x,                f(x)

-5,               3

-1,               -2

2,               -4

6,                 1

Step-by-step explanation:

The reflection of a point (x, y) across the x-axis is given by the relation;

Coordinate of the pre-image (x, y) [tex]\overset{Reflection \ across \ the \ x-axis}{\rightarrow}[/tex] Coordinate of image (x, -y)

Therefore, we have for the points as follows;

(-5, -3)  [tex]\overset{Reflection \ across \ the \ x-axis}{\rightarrow}[/tex] (-5, 3)

[tex](-5, -3) \mapsto (-5, 3)[/tex]

(-1, 2)  [tex]\overset{Reflection \ across \ the \ x-axis}{\rightarrow}[/tex] (-1, -2)

[tex](-1, 2) \mapsto (-1, -2)[/tex]

(2, 4)  [tex]\overset{Reflection \ across \ the \ x-axis}{\rightarrow}[/tex] (2, -4)

[tex](2, 4) \mapsto (2, -4)[/tex]

(6, -1)  [tex]\overset{Reflection \ across \ the \ x-axis}{\rightarrow}[/tex] (6, 1)

[tex](6, -1) \mapsto (6, 1)[/tex]

Other Questions