# How do you do transformations of a function?

## How do you do transformations of a function?

Here are some things we can do:

1. Move 2 spaces up:h(x) = 1/x + 2.
2. Move 3 spaces down:h(x) = 1/x − 3.
3. Move 4 spaces right:h(x) = 1/(x−4) graph.
4. Move 5 spaces left:h(x) = 1/(x+5)
5. Stretch it by 2 in the y-direction:h(x) = 2/x.
6. Compress it by 3 in the x-direction:h(x) = 1/(3x)
7. Flip it upside down:h(x) = −1/x.

## What changes after a reflection?

Reflection involves a change in direction of waves when they bounce off a barrier. Refraction of waves involves a change in the direction of waves as they pass from one medium to another. Refraction, or the bending of the path of the waves, is accompanied by a change in speed and wavelength of the waves.

## How can transformations be used to solve problems?

As in math, we can use transformations to solve real-world problems. For example, we can transform a difficult problem in our lives into an opportunity to arise. This does not mean that the problem is gone, but we take advantage of the problem to make great decisions that allow us to succeed.

## How do you write a rule for translation?

Mapping Rule A mapping rule has the following form (x,y) → (x−7,y+5) and tells you that the x and y coordinates are translated to x−7 and y+5. Translation A translation is an example of a transformation that moves each point of a shape the same distance and in the same direction.

## How do I describe a translation?

A translation moves a shape up, down or from side to side but it does not change its appearance in any other way. Translation is an example of a transformation. A transformation is a way of changing the size or position of a shape. Every point in the shape is translated the same distance in the same direction.

## How do you describe transformation?

A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system. Mathematical transformations describe how two-dimensional figures move around a plane or coordinate system. A preimage or inverse image is the two-dimensional shape before any transformation.

## How do you write a rule to describe a reflection?

Notation Rule A notation rule has the following form ry−axisA → B = ry−axis(x,y) → (−x,y) and tells you that the image A has been reflected across the y-axis and the x-coordinates have been multiplied by -1. Reflection A reflection is an example of a transformation that flips each point of a shape over the same line.

## What is an example of dilation in real life?

In order to make the building true to the prototype, they must dilate the scale and measurements. In the doctor’s office. Dilation is used in eye exams so that the eye doctor can view the patient’s eye better. After a while it will slowly reduce in size and return back to normal.

## What does reflection look like?

A reflection can be thought of as folding or “flipping” an object over the line of reflection. An object and its reflection have the same shape and size, but the figures face in opposite directions. The objects appear as if they are mirror reflections, with right and left reversed.

## What is the correct order to apply transformations?

Apply the transformations in this order:

1. Start with parentheses (look for possible horizontal shift) (This could be a vertical shift if the power of x is not 1.)
2. Deal with multiplication (stretch or compression)
3. Deal with negation (reflection)
4. Deal with addition/subtraction (vertical shift)

## How do you fully describe a translation?

A translation is a type of transformation that moves each point in a figure the same distance in the same direction. Translations are often referred to as slides. You can describe a translation using words like “moved up 3 and over 5 to the left” or with notation.

## How do you write a reflection for a university?

The core elements of academic reflective writing

1. develop a perspective or line of reasoning.
2. develop a link between your experience or practice and existing knowledge (theoretical or personal)
3. show understanding and appreciation of different perspectives to your own.

## What does the K do in transformation equations?

Shift Up and Down by Changing the Value of k You can represent a vertical (up, down) shift of the graph of f(x)=x2 f ( x ) = x 2 by adding or subtracting a constant, k . If k>0 , the graph shifts upward, whereas if k<0 , the graph shifts downward.