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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-example-1
Which table shows the reflection of f(x) across the x-axis? The first picture is the-example-1
Which table shows the reflection of f(x) across the x-axis? The first picture is the-example-2
Which table shows the reflection of f(x) across the x-axis? The first picture is the-example-3
Which table shows the reflection of f(x) across the x-axis? The first picture is the-example-4
User Grimsteel
by
6.9k points

1 Answer

3 votes

Answer:

The correct option is;

x, f(x)

-5, 3

-1, -2

2, -4

6, 1

Explanation:

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

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

Therefore, we have for the points as follows;

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


(-5, -3) \mapsto (-5, 3)

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


(-1, 2) \mapsto (-1, -2)

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


(2, 4) \mapsto (2, -4)

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


(6, -1) \mapsto (6, 1)

User Natanel
by
8.4k points

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