# What is the notation for a dilation in the coordinate plane?

## What is the notation for a dilation in the coordinate plane?

The scale factor of a dilation is the factor by which each linear measure of the figure (for example, a side length) is multiplied. The figure below shows a dilation with scale factor 2 , centered at the origin. This dilation can be described in coordinate notation as (x,y)→(2x,2y) .

## How do you write dilations in geometry?

Writing a Rule to Describe a Dilation: Vocabulary A dilation with scale factor k centered at the origin will take each point (x,y) and transform it to (kx,ky) ( k x , k y ) . If k>1 , then the dilation makes the shape larger, and if 0

How do you write a function notation for a dilation?

Key Points A function 𝑓 ( 𝑥 ) can be dilated in the vertical direction by a scale factor of 𝑎 by creating the new function 𝑓 ( 𝑥 ) → 𝑎 𝑓 ( 𝑥 ) . When dilating a function in the vertical direction, the roots of the function are unchanged, as are the 𝑥 -coordinates of any turning points.

### What is the symbol of dilation?

Dilation (usually represented by ⊕) is one of the basic operations in mathematical morphology. Originally developed for binary images, it has been expanded first to grayscale images, and then to complete lattices.

### How do you dilate 2?

To dilate the figure by a factor of 2, I will multiply the x and y-value of each point by 2. I plotted all the new points to find the new triangle. To dilate the figure by a factor of 2, I will multiply the x and y-value of each point by 2.

What is dilation in parabola?

Dilation has the effect of stretching or compressing a graph. Dilation is either from the x-axis or the. y-axis. Also, it could be from both axes.

## How do you dilate shapes on a graph?

How to Perform Dilations

1. Identify the center of dilation.
2. Identify the original points of the polygon.
3. Identify the scale factor .
4. Multiply each original point of the polygon by the scale factor to get the new points.
5. Plot the new points and connect the dots to get your dilated shape.

## What rule is X Y to Y X?

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