Question
Vocabulary words
Definition or Description
Example or Picture
Lesson 2
dilation
family of functions
horizontal compression
horizontal reflection
horizontal shift
horizontal stretch
parent function
reflection
Definition or Description
Example or Picture
Lesson 2
dilation
family of functions
horizontal compression
horizontal reflection
horizontal shift
horizontal stretch
parent function
reflection
Answers
GPT-4o mini
Sure! Below are the vocabulary words for Lesson 2 along with their definitions/descriptions and examples.
| Vocabulary Word | Definition or Description | Example or Picture |
|-------------------------|-----------------------------------------------------------------------------------------------------------------------------|-------------------------------------------------------------------------------------|
| **Dilation** | A transformation that alters the size of a figure but not its shape. It can either enlarge or shrink the figure. | Scaling a triangle larger or smaller while maintaining angles. |
| **Family of Functions** | A group of functions that share a common characteristic, often represented by a similar equation or general form. | Linear functions (e.g., \(f(x) = mx + b\)) share properties like slope and y-intercept. |
| **Horizontal Compression** | A transformation that squeezes a graph horizontally, making it narrower without changing its shape. | Transforming \(f(x) = x^2\) to \(f(x) = (2x)^2\) compresses it horizontally. |
| **Horizontal Reflection** | A transformation that flips a graph over the x-axis, converting positive y-values to negative and vice versa. | The function \(f(x) = x^2\) reflected becomes \(g(x) = -x^2\). |
| **Horizontal Shift** | A transformation that moves a graph left or right without changing its shape or size. | The function \(f(x) = x^2\) shifted right by 3 becomes \(g(x) = (x - 3)^2\). |
| **Horizontal Stretch** | A transformation that expands a graph horizontally, making it wider without altering its shape. | Transforming \(f(x) = x^2\) to \(f(x) = (0.5x)^2\) stretches it horizontally. |
| **Parent Function** | The simplest form of a function in a family, which retains the basic properties of the functions that follow. | The parent function for quadratic functions is \(f(x) = x^2\). |
| **Reflection** | A transformation that creates a mirror image of a figure across a specified line, such as the x-axis or y-axis. | Reflecting the point (3, 2) across the x-axis results in the point (3, -2). |
Feel free to reach out if you need further explanations or examples!
| Vocabulary Word | Definition or Description | Example or Picture |
|-------------------------|-----------------------------------------------------------------------------------------------------------------------------|-------------------------------------------------------------------------------------|
| **Dilation** | A transformation that alters the size of a figure but not its shape. It can either enlarge or shrink the figure. | Scaling a triangle larger or smaller while maintaining angles. |
| **Family of Functions** | A group of functions that share a common characteristic, often represented by a similar equation or general form. | Linear functions (e.g., \(f(x) = mx + b\)) share properties like slope and y-intercept. |
| **Horizontal Compression** | A transformation that squeezes a graph horizontally, making it narrower without changing its shape. | Transforming \(f(x) = x^2\) to \(f(x) = (2x)^2\) compresses it horizontally. |
| **Horizontal Reflection** | A transformation that flips a graph over the x-axis, converting positive y-values to negative and vice versa. | The function \(f(x) = x^2\) reflected becomes \(g(x) = -x^2\). |
| **Horizontal Shift** | A transformation that moves a graph left or right without changing its shape or size. | The function \(f(x) = x^2\) shifted right by 3 becomes \(g(x) = (x - 3)^2\). |
| **Horizontal Stretch** | A transformation that expands a graph horizontally, making it wider without altering its shape. | Transforming \(f(x) = x^2\) to \(f(x) = (0.5x)^2\) stretches it horizontally. |
| **Parent Function** | The simplest form of a function in a family, which retains the basic properties of the functions that follow. | The parent function for quadratic functions is \(f(x) = x^2\). |
| **Reflection** | A transformation that creates a mirror image of a figure across a specified line, such as the x-axis or y-axis. | Reflecting the point (3, 2) across the x-axis results in the point (3, -2). |
Feel free to reach out if you need further explanations or examples!