Table of Contents

- 1 What is a stretching transformation?
- 2 How do you tell if a transformation is a shrink or stretch?
- 3 What is shrinking and stretching?
- 4 How do you stretch and shrink a graph?
- 5 What is transformation form?
- 6 How do you shrink a transformation?
- 7 What is a stretch transformation?
- 8 What is vertical stretch or shrink?

## What is a stretching transformation?

A stretch or compression is a function transformation that makes a graph narrower or wider, without translating it horizontally or vertically.

## How do you tell if a transformation is a shrink or stretch?

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 is a shrinking transformation?**

A vertical compression (or shrinking) is the squeezing of the graph toward the x-axis. • if k > 1, the graph of y = k•f (x) is the graph of f (x) vertically stretched by multiplying each of its y-coordinates by k.

### 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 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 is stretch and shrink in math?**

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. Thus, dividing the input by a constant stretches the function in the x direction, and multiplying the input by a constant shrinks the function in the x direction.

## What is transformation form?

The transformational form of an equation is a form that has. the x2 by itself. y = -x2. y = -x2 – 1. y = x2 + 8.

## How do you shrink a transformation?

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 ).

**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 stretch transformation?

stretching transformation. [′strech·iŋ ‚tranz·fər‚mā·shən] (mathematics) A homothetic transformation in which the ratio of similitude is less than 1.

### 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. • if k > 1, the graph of y = k•f (x) is the graph of f (x) vertically stretched by multiplying each of its y-coordinates by k.

To stretch or shrink the graph in the x direction, divide or multiply the input by a constant. As in translating, when we change the input, the function changes to compensate. Thus, dividing the input by a constant stretches the function in the x direction, and multiplying the input by a constant shrinks the function in the x direction.