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). |
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