Warmup What are the solutions from the graphs?.

Slides:



Advertisements
Similar presentations
Topic 1: Given an equation, determine the type of function represented. Topic 2: Given an equation, describe the function’s rate of change. Topic 3: Given.
Advertisements

Find the solutions. Find the Vertex and Max (-1, 0) (5, 0) (2, 10)
Function Families Lesson 1-5.
Adapted from Walch Education  The standard form of a quadratic function is f ( x ) = ax 2 + bx + c, where a is the coefficient of the quadratic term,
Math – Getting Information from the Graph of a Function 1.
Radical/Power Functions Radicals Complex Numbers Quadratic Functions
Warm Up Given the function y = x2, copy and complete the table below for the values of this function. Then sketch these points on a coordinate plane.
9.1: GRAPHING QUADRATICS ALGEBRA 1. OBJECTIVES I will be able to graph quadratics: Given in Standard Form Given in Vertex Form Given in Intercept Form.
Y-intercept: the point where the graph crosses the y-axis, the value of x must = 0. find by graphing or plugging in 0 for x and solving.
Solve:. Need Help? Look in textbook in Section 5.1: Modeling Data w/ Quadratic Functions Section 5.2: Properties of Parabolas Worksheet: Properties of.
Unit 1 part 2 Test Review Graphing Quadratics in Standard and Vertex Form.
Coordinate Algebra Day 75
CC1 Key Features of a Graph Domain? Range? End-Behavior? Maximum? Minimum? Interval of Increase? Interval of Decrease?
Graphing quadratic functions part 2. X Y I y = 3x² - 6x + 2 You have to find the vertex before you can graph this function Use the formula -b 2a a = 3.
 Given the function y = x 2, copy and complete the table below for the values of this function. Then sketch these points on a coordinate plane. WARM UP.
Do Now: Solve the equation in the complex number system.
SECONDARY MATH 3 4-2COMPARING FUNCTIONS AND DOMAIN.
Quadratic Functions Polynomial Form.
What is the terminology we use to analyze a quadratic function?
Attributes of functions in their graph
Characteristics of Polynomials: Domain, Range, & Intercepts
Warm Up /05/17 1. Evaluate x2 + 5x for x = -4 and x = 3. __; ___
Warm Up /31/17 1. Evaluate x2 + 5x for x = 4 and x = –3. __; ___
Quadratic Functions and Their Properties
Identifying key Features on a parabola unit 3 day 1
PreCalculus 1st Semester
4.2 a Standard Form of a Quadratic Function
2.7 Absolute Value Functions
Key Features of a Functions
Homework Check.
Attributes of functions in their graph
Warmup Into which categories would you put the following numbers? List all that apply: 1) ) -3 3) 45-22i 4) 7.
Completing the square means writing the unknown terms of a quadratic in a square bracket Example because Application To find the maximum or minimum value.
Asymptotes, max/min, end behavior, x and y intercepts, vertex
parabola up down vertex Graph Quadratic Equations axis of symmetry
Interpreting Key Features of Quadratic Functions (2.2.1)
Bahm’s EIGHT Steps to Graphing Quadratic Equations (y = ax2 + bx + c) like a CHAMPION! Find the axis of symmetry (x = -b/2a) Substitute.
What can you tell me about this graph?
4.3 Analyzing Graphs Nov. 13 and 14.
Graphing Quadratic Functions
Domain and Range From a Graph
Key Features of a Functions
Characteristics of Polynomials: Domain, Range, & Intercepts
Characteristics of Polynomials: Domain, Range, & Intercepts
Section 9.1 Day 4 Graphing Quadratic Functions
Characteristics of Polynomials: Domain, Range, & Intercepts
“P. Sherman, 42 Wallaby Way, Sydney!”
Warm - up Write the equation in vertex form..
Skill Check after HW Check
15.1 Characteristics from Vertex Form
Unit 1 Day 1 Key Features of Graphs
Characteristics of Polynomials: Domain, Range, & Intercepts
Characteristics of Polynomials: Domain, Range, & Intercepts
Unit 9 Review.
Warm - up Write the equation in vertex form..
“P. Sherman, 42 Wallaby Way, Sydney!”
Characteristics of Polynomials: Domain, Range, & Intercepts
Characteristics of Polynomials: Domain, Range, & Intercepts
The graph below represents Maria’s distance from home one day as she rode her bike to meet friends and do a couple of errands for her mom before returning.
Analysis of Absolute Value Functions Date:______________________
How do we graph and interpret functions?
Quadratic Equation Day 4
Warm up Graph the Function using a table Use x values -1,0,1,2,3
Quadratic Functions and Their Properties
y = -.5x + 4 for X > -2 y = 2x + 1 for X ≤ -2 Warm Up
Domain The set of all possible input values. Independent Variable X
Graphing f(x) = (x - h) + k 3.3A 2 Chapter 3 Quadratic Functions
MCC9-12.F.IF.4 (p. 51) For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities,
Homework Check.
Characteristics of Polynomials: Domain, Range, & Intercepts
Presentation transcript:

Warmup What are the solutions from the graphs?

Graphing Features

Basics from Math 1 Vertex: Axis of Symmetry: X-intercept: Y-intercept: Maximum or minimum point Axis of Symmetry: Vertical line through vertex X-intercept: Where graph crosses x-axis Y-intercept: Where graph crosses y-axis

Interval Notation Brackets mean you are including that value. Parentheses mean you are NOT including that value. **you will NEVER include infinity!

Other Features Domain: Range: End Behavior: All possible x-values All possible y-values End Behavior: What is happening at the ends of the graph

Other Features Intervals of Increasing and Decreasing: Where the graph is increasing or decreasing Intervals of Positive and Negative: Where the graph is positive or negative