How to TRANSLATE Linear Functions | HS.F.BF.B.3 🖤

Опубликовано: 15 Январь 2025
на канале: The Magic Of Math

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In this video lesson we will learn about transformations of linear functions. This lesson is the first in a series of videos on transforming linear functions. We will focus on translations in this video lesson. We will discover that we can have horizontal or vertical translations. Horizontal translations shift a linear function left or right. Vertical translations shift a linear function up or down. We will learn how to write these transformations using function notation. We will discover that all linear functions belong to a family of functions where f(x)=x is the parent function. We will graph the translations of functions, we will describe the translation of functions and we will write the translations of functions using function notation. Student practice is embedded in the lesson with modeled exemplar solutions.

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00:00 Introduction
00:29 Parent Function f(x)=x
01:36 Translations of Linear Functions
02:53 Horizontal Translations of Linear Functions
04:27 Graphing Horizontal Translations
06:32 Vertical Translations of Linear Functions
07:22 Graphing Vertical Translations
08:37 Understanding Function Notation
10:56 Student Practice #1
12:14 Student Practice #2
13:32 Student Practice #3
14:00 Student Practice #4
14:32 Student Practice #5
15:06 Student Practice #6

Common Core Math Standards
Analyze functions using different representations.
HS.F.IF.C.7 Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.
HS.F.IF.C.7.A Graph linear and quadratic functions and show intercepts, maxima, and minima.
Build new functions from existing functions.
HS.F.BF.B.3 Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.