How to Graph & Describe Multiple Transformations of Linear Function | HS.F.BF.B.3 🖤

Опубликовано: 28 Февраль 2025
на канале: The Magic Of Math

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In this video lesson we will review the effects of constants, h, a, and k on a linear function. We will learn that the constant h effects by transforming a function horizontally left or right. We will learn that the constant a will represent a horizontal or vertical stretch or shrink. The constant a will also determine if a function will be reflected in the x or y axis. And, we will learn that the constant k will shift or transform a linear function vertically up or down. We will learn the 4 steps and ORDER in which to apply and describe transformations. Student practice is embedded in the lesson with modeled exemplar solutions.

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00:00 Introduction
00:56 Transformations of Linear Functions
01:48 Function Notation-Horizontal Translations
02:44 Function Notation - Horizontal Stretches & Shrinks
03:43 Function Notation - Vertical Stretches & Shrinks
04:14 Function Notation - Reflections
04:34 Function Notation - Vertical Translations
04:58 Order of Application
06:10 Graphing Multiple Transformations
08:34 Student Practice #1
09:23 Student Practice #2
09:54 Student Practice #3

Common Core 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.