# How do you reflect over the y-axis?

## How do you reflect over the y-axis?

The rule for a reflection over the y -axis is (x,y)→(−x,y) .

Is the reflection in the x-axis or y-axis?

A vertical reflection reflects a graph vertically across the x-axis, while a horizontal reflection reflects a graph horizontally across the y-axis.

### How do you reflect a function over the x-axis?

To flip or reflect (vertically) about the horizontal x-axis, replace y = f(x) with y = -f(x).

What comes first the x-axis or Y?

The order in which you write x- and y-coordinates in an ordered pair is very important. The x-coordinate always comes first, followed by the y-coordinate.

#### What does it mean to reflect over the y-axis?

When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

What does across the y-axis mean?

When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is transformed into its opposite (its sign is changed). Notice that each point of the original figure and its image are the same distance away from the line of reflection.

## What is the x and y-axis?

A coordinate grid has two perpendicular lines, or axes (pronounced AX-eez), labeled just like number lines. The horizontal axis is usually called the x-axis. The vertical axis is usually called the y-axis. The point where the x- and y-axis intersect is called the origin.

What does it mean to reflect over the x-axis?

When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the x-axis is (x, -y).

### How do you reflect a figure across the Y axis?

The rule for the reflection around the Y axis is you basically just put a “negative” in front of the X coordinates of each point. If a point is, say, 2 units away from the Y axis in the positive direction, its reflection across the Y axis would be 2 units from the Y axis in the negative direction.

What is the rule for reflection over x axis?

The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same. For example, when point P with coordinates (5,4) is reflecting across the X axis and mapped onto point P’, the coordinates of P’ are (5,-4).

#### What does a reflection across y=x mean?

The reflection of the point (x,y) across. the y-axis is the point (-x,y). When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed).

What reflects over x axis?

Another transformation that can be applied to a function is a reflection over the x– or y-axis. A vertical reflection reflects a graph vertically across the x-axis, while a horizontal reflection reflects a graph horizontally across the y-axis.