Quadratic Functions. 1. The graph of a quadratic function is given. Choose which function would give you this graph:

Slides:



Advertisements
Similar presentations
Vocabulary axis of symmetry standard form minimum value maximum value.
Advertisements

5.2 Properties of Parabolas
5.1 Modeling Data with Quadratic Functions. Quadratic Function: f(x) = ax 2 + bx + c a cannot = 0.
Algebra II w/ trig 4.1 Quadratic Functions and Transformations
By: Silvio, Jacob, and Sam.  Linear Function- a function defined by f(x)=mx+b  Quadratic Function-a function defined by f(x)=ax^2 + bx+c  Parabola-
12-4 Quadratic Functions CA Standards 21.0 and 22.0 CA Standards 21.0 and 22.0 Graph quadratic functions; know that their roots are the x-intercepts; use.
5.1 Modeling Data with Quadratic Functions 1.Quadratic Functions and Their Graphs.
EXAMPLE 1 Find the axis of symmetry and the vertex Consider the function y = – 2x x – 7. a. Find the axis of symmetry of the graph of the function.
Goal: Graph quadratic functions in different forms.
9-1 Graphing Quadratic Functions
Graphing Quadratic Equations
Graphing Quadratic Functions (2.1.1) October 1st, 2015.
2.3 Quadratic Functions. A quadratic function is a function of the form:
Chapter 6-1 Graphing Quadratic Functions. Which of the following are quadratic functions?
QUADRATIC FUNCTIONS IN STANDARD FORM 4.1B. Review  A quadratic function can be written in the form y = ax 2 + bx + c.  The graph is a smooth curve called.
Parabola  The set of all points that are equidistant from a given point (focus) and a given line (directrix).
Unit 9 Review Find the equation of the axis of symmetry, along with the coordinates of the vertex of the graph and the y-intercept, for the following equation.
Unit 3-1: Graphing Quadratic Functions Learning Target: I will graph a quadratic equation and label its key features.
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.
Big Idea: -Graph quadratic functions. -Demonstrate and explain the effect that changing a coefficient has on the graph. 5-2 Properties of Parabolas.
CHAPTER 10 LESSON OBJECTIVES. Objectives 10.1 Students will be able to: Identify quadratic functions and determine whether they have a minimum or maximum.
5-1 Graphing Quadratic Functions Algebra II CP. Vocabulary Quadratic function Quadratic term Linear term Constant term Parabola Axis of symmetry Vertex.
Do Now: Solve the equation in the complex number system.
Key Components for Graphing a Quadratic Function.
1. Whether the parabola opens up or down. 2. The y-intercept. 3. The axis of symmetry 4. The vertex 5. The max/min value 6. The x-intercept(s) Then sketch.
Factor each polynomial.
How To Graph Quadratic Equations Standard Form.
Coefficients a, b, and c are coefficients Examples: Find a, b, and c.
5-2 Properties of Parabolas
Warm Up /05/17 1. Evaluate x2 + 5x for x = -4 and x = 3. __; ___
Section 5.1 Modeling Data with Quadratic Functions Objective: Students will be able to identify quadratic functions and graphs, and to model data with.
Warm Up /31/17 1. Evaluate x2 + 5x for x = 4 and x = –3. __; ___
Part 4.
Quadratic Functions and Their Properties
Quadratic Equations Chapter 5.
Notes 3.3 Quadratic Functions
How to Graph Quadratic Equations
Y Label each of the components of the parabola A: ________________ B: ________________ C: ________________ C B B 1 2.
How To Graph Quadratic Equations
Section 3.1 Quadratic Functions
Quadratic Functions.
Warm up 1) Graph.
CHAPTER 6 SECTION 1 GRAPHING QUADRATIC FUNCTIONS
3.1 Quadratic Functions and Models
Find the x-coordinate of the vertex
Warm Up Graph:
Graphing Quadratic Functions (2.1.1)
Warm Up Let’s find the vertex of the following quadratic equation and state whether it is a maximum point or minimum point.
How To Graph Quadratic Equations.
Section 9.1 Day 4 Graphing Quadratic Functions
Review: Simplify.
Objectives Find the zeros of a quadratic function from its graph.
Quadratic Functions in the Form y = a(x – h)2 + k
Some Common Functions and their Graphs – Quadratic Functions
MATH 1310 Section 3.5.
3.1 Quadratic Functions and Models
Unit 9 Review.
Obj: graph parabolas in two forms
How To Graph Quadratic Equations.
Section 10.2 “Graph y = ax² + bx + c”
Parabolas.
Analysis of Absolute Value Functions Date:______________________
Warm Up.
MATH 1310 Section 3.5.
Quadratic Equation Day 4
Graphing Quadratic Functions
Quadratic Functions and Their Properties
Graphing f(x) = (x - h) + k 3.3A 2 Chapter 3 Quadratic Functions
How To Graph Quadratic Equations.
Quadratic Functions and Equations Lesson 1: Graphing Quadratic Functions.
Presentation transcript:

Quadratic Functions

1. The graph of a quadratic function is given. Choose which function would give you this graph:

2. The graph of a quadratic function is given. Choose which function would give you this graph:

3. Find the coordinates of the vertex for the parabola defined by the given quadratic function:

4. Find the vertex, axis of symmetry, minimum or maximum point, and the graph:

5. Find the coordinates of the vertex for the parabola defined by the given quadratic function:

6. Find the vertex, axis of symmetry, minimum or maximum point, and the graph:

7. Determine whether the graph has a minimum or maximum and then find it.