Warm Up Find the following: Vertex A.O.S. Y-intercept X-intercept.

Slides:

Advertisements

Similar presentations

Ch. 6.1: Solve Quadratic Equations by Graphing

Advertisements

Graph: x + y = 5 1. Solve for y. 2. Make an X|Y chart. 3. Graph.

Warm Up # 1 # 3 # 2 Find the vertex of the function. # 4 Find the coordinates of point A Find the coordinates of point B Find the coordinates of point.

4.10: Write Quadratic Functions and Models HW: p.312 – 313 (4, 12, 18, 22, 28, 34) Test : Wednesday.

EXAMPLE 1 Solve a quadratic equation having two solutions Solve x 2 – 2x = 3 by graphing. STEP 1 Write the equation in standard form. Write original equation.

Quadratic Equations Algebra I. Vocabulary Solutions – Called roots, zeros or x intercepts. The point(s) where the parabola crosses the x axis. Minimum.

Quiz review Direction of Opening Y – intercept Vertex AOS

Warmup 9-11 Solve the following equations by factoring. Show work! 1.x x - 80 = 0 2.Solve by using the quadratic formula: 4x 2 - 5x - 2 = 0 3.Solve.

Solving Quadratic Equations

Solving Quadratic Equations by Factoring. Solution by factoring Example 1 Find the roots of each quadratic by factoring. factoring a) x² − 3x + 2 b) x².

9-1 Quadratic Equations and Functions 9-2 Characteristics of Quadratic Functions 9-3 Graphing Quadratic Functions 9-4 Solving Quadratic Equations by Graphing.

Algebra 1B Chapter 9 Solving Quadratic Equations By Graphing.

Solving quadratic equations by graphing. X Y I x² - 2x = 3 You have to rewrite the equation to find the vertex before you can graph this function Use.

Chapter 10.7 Notes: Solve Quadratic Equations by the Quadratic Formula Goal: You will solve quadratic equations by using the Quadratic Formula.

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.

Example: 3x 2 + 9x + 6. Solving Quadratic Equations.

Roots, Zeroes, and Solutions For Quadratics Day 2.

Solving Quadratic Equations by Graphing 4 Lesson 10.2.

11-2 Solving Quadratic Equations By Graphing

EXAMPLE 5 Find the zeros of quadratic functions. Find the zeros of the function by rewriting the function in intercept form. a. y = x 2 – x – 12 b. y =

Chapter 5.2/Day 3 Solving Quadratic Functions by Graphing Target Goal: 1. Solve quadratic equations by graphing.

Fri 12/11 Lesson 4 – 1 Learning Objective: To graph quadratic functions Hw: Graphing Parabolas Day 1 WS.

Warm Up 1.) What is the graph of the function y = -x 2 + 4x + 1?

February 1, 2012 At the end of today, you will be able to find the solutions/roots/zeros/x-intercepts of a quadratic function by graphing. Warm-up: Identify.

Graphing Quadratic Functions. The graph of any Quadratic Function is a Parabola To graph a quadratic Function always find the following: y-intercept.

Notes Over 9.4 Checking a Solution Using a Graph The solution, or roots of an equation are the x-intercepts. Solve the equation algebraically. Check the.

2.1 Quadratic Functions Standard form Applications.

Factor each polynomial.

3-2 Solving Linear Equations by Graphing

Find the number of real solutions for x2 +8x

6.2 Solving Quadratic Equations by Graphing

Solving Quadratic Equation and Graphing

5-Minute Check Lesson 4-2 Answer: 2

A quadratic equation is written in the Standard Form,

Solving Quadratic Equations by Graphing

Warm-up Solve by factoring: 3x2 – 16x – 7 = 5

9.3 Solving Quadratic Equations

SECTION 9-3 : SOLVING QUADRATIC EQUATIONS

Solving Quadratic Equation by Graphing

Solving a Quadratic Equation by Graphing

lesson 9.2 I CAN draw and label a three point graph.

Warm Up Test Friday HW- Solving Quadratics Worksheet.

E) Quadratic Formula & Discriminant

Zeros to Quadratic Functions

What are the equations of the following lines?

Warm-Up March 10th Find the perimeter and area of the rectangle below.

Warm Up 1) Rewrite.

WELCOME BACK WARM UP! Find The roots of the given quadratic: x2+7x+6=0 A.) {0,6} B.) {-6,0} C.) {-6,-1} D.) {1,6}

Solving Quadratic Equations by Factoring

16.1 Solving Quads by Square Root Method and factoring

Warm Up Find the x-intercept of each function. 1. f(x) = –3x + 9 3

Section 9.5 Day 1 Solving Quadratic Equations by using the Quadratic Formula Algebra 1.

Quadratics Lesson 2 Objective: Vertex Form of a Quadratic.

Graphing Quadratic Equations

Warm - up Write the equation in vertex form..

Objective Solve quadratic equations by graphing..

Write the equation for the following slope and y-intercept:

Characteristics of Quadratic Functions

Warm up Write the equation in vertex form of the quadratic equation that has been: 1. shifted right 7 and down reflected across the x-axis and shifted.

Warm - up Write the equation in vertex form..

Warm Up Find the perimeter and area of the rectangle below. 4x - 3

Solve Quadratics by Graphing ax2 +bx + c

Warm Up 2) Solve by factoring a) x2 + 10x + 9 b) 4x2 – 15x - 25

Solve Systems of Equations by Graphing

Solving Example 2D Math.

Quadratic Equation Day 4

Warm up Write the equation in vertex form of the quadratic equation that has been: 1. shifted right 7 and down reflected across the x-axis and shifted.

Objectives: To graph lines using the slope-intercept equation

Presentation transcript:

Warm Up Find the following: Vertex A.O.S. Y-intercept X-intercept

HW Check – 6.7

Characteristics of Quadratics Table

Solving Quadratics by Factoring & Graphing

Solving Equations When you are asked to solve a quadratic, find the roots, or find the zeroes…. Find the x-intercepts!

Solving by Graphing Get equation in standard form Find the x-intercepts X-Intercepts: 2nd Trace  Zero (find each one separately) - Write as ordered pairs!

Solve y = x2 – 4 by graphing

Solve y = x2 - 5x + 6 by graphing

Solve by Factoring Factor the quadratic Set each factor = 0 Solve each factor for x. Write solutions as ordered pairs

Solve x2 + 7x + 10 = 0 by factoring

Solve x2 -4x -32 = 0 by factoring

Solve 2x2 + 9x -5 = 0 by factoring

Solve 3x2 + 6x + 2 = 0

HW 6.8 tonight