We can also stretch and shrink the graph of a function. To stretch or shrink the graph in the y direction, **multiply or divide the output by a constant**. To stretch or shrink the graph in the x direction, divide or multiply the input by a constant.

- To stretch or shrink the graph in the y direction,
**multiply or divide the output by a constant**. 2f (x) is stretched in the y direction by a factor of 2, and f (x) is shrunk in the y direction by a factor of 2 (or stretched by a factor of). Here are the graphs of y = f (x), y = 2f (x), and y = x.

Contents

- 1 What is shrinking and stretching?
- 2 How do you tell if a function is shrinking or stretching?
- 3 What does stretching mean in algebra?
- 4 What is vertical stretch or shrink?
- 5 How do horizontal stretches and shrinks work?
- 6 What is a compression in math?
- 7 How do you compress and stretch a function?
- 8 How do you vertically shrink a graph?
- 9 How do you vertically stretch a graph?
- 10 How do you stretch and shrink a graph?
- 11 What are stretches in geometry?
- 12 What is stretch or compression in math?
- 13 Why are horizontal stretches opposite?
- 14 How do you shrink an absolute value graph?

## What is shrinking and stretching?

While translations move the x and y intercepts of a base graph, stretches and shrinks effectively pull the base graph outward or compress the base graph inward, changing the overall dimensions of the base graph without altering its shape.

## How do you tell if a function is shrinking or stretching?

If c is greater than one the function will undergo horizontal shrinking, and if c is less than one the function will undergo horizontal stretching. Horizontal scaling: The function y=sin(x) is shrunk by a factor of three in the x direction.

## What does stretching mean in algebra?

stretch. A stretch or compression is a function transformation that makes a graph narrower or wider. stretching. Stretching a graph means to make the graph narrower or wider.

## What is vertical stretch or shrink?

A vertical stretching is the stretching of the graph away from the x-axis. A vertical compression (or shrinking) is the squeezing of the graph toward the x-axis.

## How do horizontal stretches and shrinks work?

What are Horizontal Stretches and Shrinks? Horizontal stretches and shrinks, respectively, horizontally pull the base graph, or push it together, while leaving the y-intercept unchanged to anchor the graph.

## What is a compression in math?

A compression occurs when a mathematical object is scaled by a scale factor less in absolute value than one. When a compression occurs, the image is smaller than the original mathematical object. If the scaling occurs about a point, the transformation is called a dilation and the “point” is called the dilation centre.

## How do you compress and stretch a function?

How To: Given a function, graph its vertical stretch.

- Identify the value of a.
- Multiply all range values by a.
- If a>1, the graph is stretched by a factor of a. If 0

## How do you vertically shrink a graph?

In general, when a function is compressed vertically by a (where 0 < a < 1), the graph shrinks by the same scale factor. Let's apply the concept to compress f(x) = 6|x| + 8 by a scale factor of 1/2. To compress f(x), we'll multiply the output value by 1/2.

## How do you vertically stretch a graph?

When we multiply a function by a positive constant, we get a function whose graph is stretched or compressed vertically in relation to the graph of the original function. If the constant is greater than 1, we get a vertical stretch; if the constant is between 0 and 1, we get a vertical compression.

## How do you stretch and shrink a graph?

To stretch or shrink the graph in the y direction, multiply or divide the output by a constant. 2f (x) is stretched in the y direction by a factor of 2, and f (x) is shrunk in the y direction by a factor of 2 (or stretched by a factor of ). Here are the graphs of y = f (x), y = 2f (x), and y = x.

## What are stretches in geometry?

The image of a dilation is the same shape as the original figure, but is not necessarily the same size. If a figure is enlarged (or reduced) in only one direction, the change is referred to as a stretch. In a stretch, the figure is distorted, and is not necessarily similar to the original figure.

## What is stretch or compression in math?

In math terms, you can stretch or compress a function horizontally by multiplying x by some number before any other operations. To stretch the function, multiply by a fraction between 0 and 1. To compress the function, multiply by some number greater than 1.

## Why are horizontal stretches opposite?

Why are horizontal translations opposite? While translating a graph horizontally, it might occur that the procedure is opposite or counter-intuitive. That means: For negative horizontal translation, we shift the graph towards the positive x-axis.

## How do you shrink an absolute value graph?

The stretching or compressing of the absolute value function y=| x | is defined by the function y=a| x | where a is a constant. The graph opens up if a>0 and opens down when a<0.