Graph & find x-intercepts. Verify the solutions by factoring.

Slides:



Advertisements
Similar presentations
Objectives Find the zeros of a quadratic function from its graph.
Advertisements

Section 4.1: Vertex Form LEARNING TARGET: I WILL GRAPH A PARABOLA USING VERTEX FORM.
Warm Up  .
Quadratic Functions. How Parabolas Open A parabola will open upward if the value of a in your equations is positive-this type of parabola will have.
Learning Task/Big Idea: Students will learn how to find roots(x-intercepts) of a quadratic function and use the roots to graph the parabola.
Graphing Quadratic Functions (2.1.1) October 1st, 2015.
Roots, Zeroes, and Solutions For Quadratics Day 2.
Solving Quadratic Equations by Graphing 4 Lesson 10.2.
Graphing quadratic functions (Section 5.1. Forms of the quadratic function  Standard form  Vertex form  Intercept form.
11-2 Solving Quadratic Equations By Graphing
Section 5-4(e) Solving quadratic equations by factoring and graphing.
REVIEW FOR QUIZ 3 ALGEBRA II. QUESTION 1 FACTOR THE FOLLOWING QUADRATIC 3N 2 + 7N + 4 Answer: (3n + 4)(n + 1)
Parabola  The set of all points that are equidistant from a given point (focus) and a given line (directrix).
Chapter 5.2/Day 3 Solving Quadratic Functions by Graphing Target Goal: 1. Solve quadratic equations by graphing.
Creating and Graphing Equations Using the x - intercepts Adapted from Walch Education.
Sample Problems for Class Review
Fri 12/11 Lesson 4 – 1 Learning Objective: To graph quadratic functions Hw: Graphing Parabolas Day 1 WS.
Graphing Quadratic Equations a step-by-step guide with practice.
Precalculus Section 1.7 Define and graph quadratic functions
CHAPTER 10 LESSON OBJECTIVES. Objectives 10.1 Students will be able to: Identify quadratic functions and determine whether they have a minimum or maximum.
Quadratic Functions. 1. The graph of a quadratic function is given. Choose which function would give you this graph:
Graphing Quadratics in Vertex and Intercept Form Vertex Form y = a(x – h) 2 + k Intercept Form y = a(x – p)(x – q)
Solving Quadratic Equations by Graphing Need Graph Paper!!! Objective: 1)To write functions in quadratic form 2)To graph quadratic functions 3)To solve.
Factor each polynomial.
Section 10.2 – The Parabola Opens Left/Right Opens Up/Down
Solving Quadratic Equation by Graphing
Algebra 2 Name:_____________________
Warm Up /05/17 1. Evaluate x2 + 5x for x = -4 and x = 3. __; ___
Algebra I Section 9.3 Graph Quadratic Functions
Warm Up /31/17 1. Evaluate x2 + 5x for x = 4 and x = –3. __; ___
Part 4.
Quadratic Functions and Their Properties
Find the number of real solutions for x2 +8x
Notes 3.3 Quadratic Functions
Using the Vertex Form of Quadratic Equations
6.2 Solving Quadratic Equations by Graphing
Solving Quadratic Equation and Graphing
Solving Quadratic Equations by Graphing
Solving Quadratic Equation by Graphing
Warm-up Solve by factoring: 3x2 – 16x – 7 = 5
Solving a Quadratic Equation by Graphing
Quadratic Functions.
lesson 9.2 I CAN draw and label a three point graph.
lesson 9.1 I CAN identify parts of a parabola.
Warm up 1) Graph.
What are the equations of the following lines?
3.1 Quadratic Functions and Models
Solving Quadratic Equation by Graphing
Graphing Quadratic Functions (2.1.1)
Solving Quadratic Equation by Graphing
Graphing Quadratic Functions
Section 9.1 Day 4 Graphing Quadratic Functions
The Discriminant CA 22.0, 23.0.
Creating & Graphing Quadratic Functions Using the X-Intercepts (3.3.2)
GRAPHING PARABOLAS To graph a parabola you need : a) the vertex
Solving Quadratic Equation by Graphing
Quadratics Lesson 2 Objective: Vertex Form of a Quadratic.
Graphing Quadratic Equations
Characteristics of Quadratic Functions
Solving Quadratic Equation
3.1 Quadratic Functions and Models
# in group Cost per person Total $  16    20  24  28  32 36  40  44  48  50  52  56  60.
Using the AOS and Vertex
Solve Quadratics by Graphing ax2 +bx + c
9.2 Solving Quadratic Equations by Graphing
Quadratic Equation Day 4
Quadratic Functions and Their Properties
QUADRATIC FUNCTION PARABOLA.
Notes Over 5.8 Writing a Quadratic Function in Vertex Form
Dispatch  .
Presentation transcript:

Graph & find x-intercepts. Verify the solutions by factoring.

9 – 24 – 14 Graph Quadratic Functions in Vertex Form

TLW… Graph quadratic functions and their transformations in vertex form. Find the vertex of parabolas. SPI: 3103.3.10, 3103.3.12, 3103.3.13

Vertex form is The vertex is at (h, k). The axis of symmetry is x = h.

Graph. Identify vertex, axis of sym, and zeros/solutions.

Graph. Identify vertex, axis of sym, and zeros/solutions.

Graph. Identify vertex, axis of sym, and zeros/solutions.

Graph. Identify vertex, axis of sym, and zeros/solutions.

Worksheet # 1 – 4.

Write in standard form.

Write in standard form.

Worksheet # 5 –7.

Write a quadratic function in standard form given zeros at and .

Write a quadratic function in standard form given roots at and .

Worksheet # 8 –10.