Users' questions / December 7, 2019

What is the reflection point over line?

A reflection is one example of a rigid transformation. A reflection over line is a transformation in which each point of the original figure (the pre-image) has an image that is the same distance from the reflection line as the original point, but is on the opposite side of the line.

How do you reflect a specific line?

Your idea will work if you just carry it fully through. First shift three units to the left, so the line of reflection becomes the y axis, then flip, and finally remember to shift three units back to the right to put the center line back where it belongs. (This gives the f(6−x) solution you already know).

How do you reflect over Y 3?

The line y = 3 is a horizontal line so we know our reflected point will be (1, y’). The original point (1, 2) is just one unit less (or one unit away below it) from the line y = 3, so our reflected point will be one unit away above it, giving us (1, 4).

What are the reflection rules?

To perform a geometry reflection, a line of reflection is needed; the resulting orientation of the two figures are opposite. Corresponding parts of the figures are the same distance from the line of reflection. Ordered pair rules reflect over the x-axis: (x, -y), y-axis: (-x, y), line y=x: (y, x).

How do you reflect a horizontal line?

How To: Given a function, reflect the graph both vertically and horizontally.

Multiply all outputs by –1 for a vertical reflection. The new graph is a reflection of the original graph about the x-axis.
Multiply all inputs by –1 for a horizontal reflection.

What does it mean to reflect across y =- 2?

the x-values of the mirror image will stay the same. look at the y-values. the y-values must be the same number of units below the line y=2 as above the line y=2. for example, if a y-value is 2 units above the line y=2, the mirror image of that y-value must be 2 units below the line y=2.

How do I reflect over Y?

What is the rule for a reflection across the Y axis? The rule for reflecting over the Y axis is to negate the value of the x-coordinate of each point, but leave the -value the same.

What are the 4 reflection rules?

Reflection on a Coordinate Plane

Reflection Over X Axis. When reflecting over (across) the x-axis, we keep x the same, but make y negative.
Reflection Over Y Axis. When reflecting over (across) the y-axis, we keep y the same, but make x-negative.
Reflection Across Y=X.
Reflection Across Y=-X.

What is reflection over Y X?

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). the line y = x is the point (y, x).

How do you write a vertical reflection?

A vertical reflection is given by the equation y=−f(x) y = − f ( x ) and results in the curve being “reflected” across the x-axis. A horizontal reflection is given by the equation y=f(−x) y = f ( − x ) and results in the curve being “reflected” across the y-axis.

What does it mean to reflect over Y =- 1?

the line y=1 is a horizontal line passing through all. points with a y-coordinate of 1. the point (3,10) reflected in this line. the x-coordinate remains in the same position.