I Can Graph An Absolute Value Function By Performing .

3y ago
33 Views
2 Downloads
687.93 KB
24 Pages
Last View : 1m ago
Last Download : 3m ago
Upload by : Milena Petrie
Transcription

Absolute value functions and transformations.notebookOctober 14, 2014Absolute Value Functions and GraphsObjective:I can graph an absolute value functionby performing transformations on theparent function f (x) x .Oct 12 3:13 PM1

Absolute value functions and transformations.notebookOctober 14, 2014Vocabulary· The function f(x) x is an absolute value function.· The highest or lowest point on the graph of anabsolute value function is called the vertex.· An axis of symmetry of the graph of a function is avertical line that divides the graph into mirror images.An absolute value graph has one axis of symmetrythat passes through the vertex.Oct 12 3:15 PM2

Absolute value functions and transformations.notebookOctober 14, 2014Absolute Value Function· Absolute Value Function· Vertex· Axis of SymmetryOct 12 3:18 PM3

Absolute value functions and transformations.notebookOctober 14, 2014Building the Absolute Value FunctionThe absolute value function isdefined by f (x) x .Oct 12 3:21 PM4

Absolute value functions and transformations.notebookOctober 14, 2014This is the absolute value parent function.Tablexf(x) lxlyOct 12 3:30 PM5

Absolute value functions and transformations.notebookOctober 14, 2014Parent Function· V shape· It is symmetric about the y axis (Axis of Symmetry)· The vertex is the minimum point on the graphOct 12 3:34 PM6

Absolute value functions and transformations.notebookOctober 14, 2014TranslationA translation is atransformationthat shifts a graphhorizontally orvertically, butdoesn’t changethe overall shapeor orientation.Oct 12 3:35 PM7

Absolute value functions and transformations.notebookOctober 14, 2014Oct 14 10:28 AM8

Absolute value functions and transformations.notebookOctober 14, 2014Oct 14 10:31 AM9

Absolute value functions and transformations.notebookOctober 14, 2014Oct 14 10:41 AM10

Absolute value functions and transformations.notebookOctober 14, 2014Oct 14 10:30 AM11

Absolute value functions and transformations.notebookOctober 14, 2014Stretching and CompressionThe graph of y a x is graph of y x verticallystretched or compressed depending on the a .The value of a acts like the slope.Oct 12 3:37 PM12

Absolute value functions and transformations.notebookOctober 14, 2014Oct 14 11:08 AM13

Absolute value functions and transformations.notebookOctober 14, 2014Oct 14 11:10 AM14

Absolute value functions and transformations.notebookOctober 14, 2014ReflectionThe graph of y a x is graph of y x reflectedacross the x axis.Oct 12 3:39 PM15

Absolute value functions and transformations.notebookOctober 14, 2014y a x – h kOct 12 3:41 PM16

Absolute value functions and transformations.notebookOctober 14, 2014Multiple TransformationsIn general, the graph of an absolute value functionof the form y a x – h k can involvetranslations, reflections, stretches or compressions.To graph an absolute value function, start byidentifying the vertexOct 12 3:50 PM17

Absolute value functions and transformations.notebookOctober 14, 2014Graphing Absolute Value FunctionsGraphing y a x – h k is straight forward:1. Plot the vertex (h, k). (note if h inside that means h isnegative(to the left); if – h inside that means h is positive (to the right)2. Use the a value as slope to plot more points.Remember you have to do positive and negative slope to get points on both sidesof the V3. Connect the dots in a V shape.Oct 12 3:50 PM18

Absolute value functions and transformations.notebookOctober 14, 2014Example 1Graph the following function without making a table.y x – 2 3VertexHow does this graph move?Did this graph stretch or compress?(slope of 1)Oct 12 3:52 PM19

Absolute value functions and transformations.notebookOctober 14, 2014Oct 12 3:56 PM20

Absolute value functions and transformations.notebookOctober 14, 2014Example 2Graph the following function.y (1/2) x VertexHow does this graph move?Did this graph stretch or compress?Oct 12 4:01 PM21

Absolute value functions and transformations.notebookOctober 14, 2014Your turn:y (3/2) x Vertex ( , )TranslationsSlopeOct 12 4:07 PM22

Absolute value functions and transformations.notebookOctober 14, 2014Your turn:y 2 x 2 3Vertex ( , )TranslationsSlopeOct 12 4:11 PM23

Absolute value functions and transformations.notebookOctober 14, 2014write an abs value function that.Oct 14 11:30 AM24

Notes,Whiteboard,Whiteboard Page,Notebook software,Notebook,PDF,SMART,SMART Technologies ULC,SMART Board Interactive Whiteboard Created Date 10/14/2014 3:25:37 PM

Related Documents:

Texts of Wow Rosh Hashana II 5780 - Congregation Shearith Israel, Atlanta Georgia Wow ׳ג ׳א:׳א תישארב (א) ׃ץרֶָֽאָּהָּ תאֵֵ֥וְּ םִימִַׁ֖שַָּה תאֵֵ֥ םיקִִ֑לֹאֱ ארָָּ֣ Îָּ תישִִׁ֖ארֵ Îְּ(ב) חַורְָּ֣ו ם

The totality of these behaviors is the graph schema. Drawing a graph schema . The best way to represent a graph schema is, of course, a graph. This is how the graph schema looks for the classic Tinkerpop graph. Figure 2: Example graph schema shown as a property graph . The graph schema is pretty much a property-graph.

Oracle Database Spatial and Graph In-memory parallel graph analytics server (PGX) Load graph into memory for analysis . Command-line submission of graph queries Graph visualization tool APIs to update graph store : Graph Store In-Memory Graph Graph Analytics : Oracle Database Application : Shell, Zeppelin : Viz .

2010 AB2 BC2 maximum, minimum absolute extrema 2010 AB3 maximum, minimum absolute extrema 2009 AB2 BC2 maximum, minimum absolute extrema 2009 AB3 fundamental theorem absolute extrema 2009 AB6 maximum, minimum absolute extrema 2008 AB3 maximum, minimum absolute extrema 2008 AB4 BC4 maximum, minimum absolute extrema

a graph database framework. The proposed approach targets two kinds of graph models: - IFC Meta Graph (IMG) based on the IFC EXPRESS schema - IFC Objects Graph (IOG) based on STEP Physical File (SPF) format. Beside the automatic conversation of IFC models into graph database this paper aims to demonstrate the potential of using graph databases .

1.14 About Oracle Graph Server and Client Accessibility 1-57. 2 . Quick Starts for Using Oracle Property Graph. 2.1 Using Sample Data for Graph Analysis 2-1 2.1.1 Importing Data from CSV Files 2-1 2.2 Quick Start: Interactively Analyze Graph Data 2-3 2.2.1 Quick Start: Create and Query a Graph in the Database, Load into Graph Server (PGX) for .

1.14 About Oracle Graph Server and Client Accessibility 1-46. 2 . Quick Starts for Using Oracle Property Graph. 2.1 Using Sample Data for Graph Analysis 2-1 2.1.1 Importing Data from CSV Files 2-1 2.2 Quick Start: Interactively Analyze Graph Data 2-3 2.2.1 Quick Start: Create and Query a Graph in the Database, Load into Graph Server (PGX) for .

The mean absolute deviation of a set of data is the average distance between each data value and the mean. 1. Find the mean. 2. Find the distance between each data value and the mean. . Sixth Grade Seventh Grade 88 116 94 108 112 124 144 91 97 122 128 132 9.The table shows the lengths of the longest bridges in the United BRIDGES States and in .File Size: 2MBPage Count: 6Explore furtherMean Absolute Deviation Worksheet 1.pdfdocs.google.comMean Absolute Deviation Worksheetswww.mathworksheets4kids.comMean Absolute Deviation Calculatorwww.alcula.comGrade 6 McGraw Hill Glencoe - Answer Keys Answer keys .www.mathpractice101.comMean Absolute Deviation Worksheet - Houston ISDwww.houstonisd.orgRecommended to you b